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Finding the Fourth Proportional to 475.92, 709.38 and 460.13

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Solution

The fourth proportional to 475.92, 709.38 and 460.13 is: 685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 709.38 = 460.13 : x
  2. Step 2: Convert to fraction form
    475.92/709.38 = 460.13/x
  3. Step 3: Cross multiply
    475.92x = 709.38 × 460.13
  4. Step 4: Simplify right side
    475.92x = 326,403.47
  5. Step 5: Solve for x
    x = 326,403.47/475.92
  6. Step 6: Final answer
    x = 685.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.