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Finding the Fourth Proportional to 527.31, 726.98 and 417.15

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Solution

The fourth proportional to 527.31, 726.98 and 417.15 is: 575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 726.98 = 417.15 : x
  2. Step 2: Convert to fraction form
    527.31/726.98 = 417.15/x
  3. Step 3: Cross multiply
    527.31x = 726.98 × 417.15
  4. Step 4: Simplify right side
    527.31x = 303,257.62
  5. Step 5: Solve for x
    x = 303,257.62/527.31
  6. Step 6: Final answer
    x = 575.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.