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Finding the Fourth Proportional to 657.38, 985.63 and 462.54

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Solution

The fourth proportional to 657.38, 985.63 and 462.54 is: 693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 985.63 = 462.54 : x
  2. Step 2: Convert to fraction form
    657.38/985.63 = 462.54/x
  3. Step 3: Cross multiply
    657.38x = 985.63 × 462.54
  4. Step 4: Simplify right side
    657.38x = 455,893.30
  5. Step 5: Solve for x
    x = 455,893.30/657.38
  6. Step 6: Final answer
    x = 693.50

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Half scale
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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.