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Finding the Fourth Proportional to 487.28, 725.86 and 459.92

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Solution

The fourth proportional to 487.28, 725.86 and 459.92 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.28 : 725.86 = 459.92 : x
  2. Step 2: Convert to fraction form
    487.28/725.86 = 459.92/x
  3. Step 3: Cross multiply
    487.28x = 725.86 × 459.92
  4. Step 4: Simplify right side
    487.28x = 333,837.53
  5. Step 5: Solve for x
    x = 333,837.53/487.28
  6. Step 6: Final answer
    x = 685.10

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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.