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Finding the Fourth Proportional to 527.12, 726.45 and 410.48

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Solution

The fourth proportional to 527.12, 726.45 and 410.48 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 726.45 = 410.48 : x
  2. Step 2: Convert to fraction form
    527.12/726.45 = 410.48/x
  3. Step 3: Cross multiply
    527.12x = 726.45 × 410.48
  4. Step 4: Simplify right side
    527.12x = 298,193.20
  5. Step 5: Solve for x
    x = 298,193.20/527.12
  6. Step 6: Final answer
    x = 565.70

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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.