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Finding the Fourth Proportional to 1,573.42, 2,171.23 and 874.75

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Solution

The fourth proportional to 1,573.42, 2,171.23 and 874.75 is: 1,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.42 : 2,171.23 = 874.75 : x
  2. Step 2: Convert to fraction form
    1,573.42/2,171.23 = 874.75/x
  3. Step 3: Cross multiply
    1,573.42x = 2,171.23 × 874.75
  4. Step 4: Simplify right side
    1,573.42x = 1,899,283.44
  5. Step 5: Solve for x
    x = 1,899,283.44/1,573.42
  6. Step 6: Final answer
    x = 1,207.11

Related Problems

Find fourth proportional to 786.71, 1,085.62 and 437.38
Half scale
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Double scale
Find fourth proportional to 1,574.42, 2,172.61 and 875.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.