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Finding the Fourth Proportional to 874.14, 1,206.52 and 524.76

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Solution

The fourth proportional to 874.14, 1,206.52 and 524.76 is: 724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.14 : 1,206.52 = 524.76 : x
  2. Step 2: Convert to fraction form
    874.14/1,206.52 = 524.76/x
  3. Step 3: Cross multiply
    874.14x = 1,206.52 × 524.76
  4. Step 4: Simplify right side
    874.14x = 633,133.44
  5. Step 5: Solve for x
    x = 633,133.44/874.14
  6. Step 6: Final answer
    x = 724.29

Related Problems

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Half scale
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Double scale
Find fourth proportional to 875.14, 1,207.90 and 525.76
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.