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Finding the Fourth Proportional to 417.31, 627.18 and 387.14

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Solution

The fourth proportional to 417.31, 627.18 and 387.14 is: 581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.31 : 627.18 = 387.14 : x
  2. Step 2: Convert to fraction form
    417.31/627.18 = 387.14/x
  3. Step 3: Cross multiply
    417.31x = 627.18 × 387.14
  4. Step 4: Simplify right side
    417.31x = 242,806.47
  5. Step 5: Solve for x
    x = 242,806.47/417.31
  6. Step 6: Final answer
    x = 581.84

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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.