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Finding the Fourth Proportional to 1,089.44, 1,503.42 and 623.69

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Solution

The fourth proportional to 1,089.44, 1,503.42 and 623.69 is: 860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.44 : 1,503.42 = 623.69 : x
  2. Step 2: Convert to fraction form
    1,089.44/1,503.42 = 623.69/x
  3. Step 3: Cross multiply
    1,089.44x = 1,503.42 × 623.69
  4. Step 4: Simplify right side
    1,089.44x = 937,668.02
  5. Step 5: Solve for x
    x = 937,668.02/1,089.44
  6. Step 6: Final answer
    x = 860.69

Related Problems

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Half scale
Find fourth proportional to 2,178.88, 3,006.84 and 1,247.38
Double scale
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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.