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Finding the Fourth Proportional to 487.71, 727.35 and 415.04

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Solution

The fourth proportional to 487.71, 727.35 and 415.04 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.71 : 727.35 = 415.04 : x
  2. Step 2: Convert to fraction form
    487.71/727.35 = 415.04/x
  3. Step 3: Cross multiply
    487.71x = 727.35 × 415.04
  4. Step 4: Simplify right side
    487.71x = 301,875.71
  5. Step 5: Solve for x
    x = 301,875.71/487.71
  6. Step 6: Final answer
    x = 618.97

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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.