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Finding the Fourth Proportional to 506.52, 700.92 and 462.78

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Solution

The fourth proportional to 506.52, 700.92 and 462.78 is: 640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 700.92 = 462.78 : x
  2. Step 2: Convert to fraction form
    506.52/700.92 = 462.78/x
  3. Step 3: Cross multiply
    506.52x = 700.92 × 462.78
  4. Step 4: Simplify right side
    506.52x = 324,371.76
  5. Step 5: Solve for x
    x = 324,371.76/506.52
  6. Step 6: Final answer
    x = 640.39

Related Problems

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Double scale
Find fourth proportional to 507.52, 702.30 and 463.78
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.