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Finding the Fourth Proportional to 487.62, 727.11 and 454.14

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Solution

The fourth proportional to 487.62, 727.11 and 454.14 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 727.11 = 454.14 : x
  2. Step 2: Convert to fraction form
    487.62/727.11 = 454.14/x
  3. Step 3: Cross multiply
    487.62x = 727.11 × 454.14
  4. Step 4: Simplify right side
    487.62x = 330,209.74
  5. Step 5: Solve for x
    x = 330,209.74/487.62
  6. Step 6: Final answer
    x = 677.19

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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.