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Finding the Fourth Proportional to 527.76, 726.68 and 448.92

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Solution

The fourth proportional to 527.76, 726.68 and 448.92 is: 618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 726.68 = 448.92 : x
  2. Step 2: Convert to fraction form
    527.76/726.68 = 448.92/x
  3. Step 3: Cross multiply
    527.76x = 726.68 × 448.92
  4. Step 4: Simplify right side
    527.76x = 326,221.19
  5. Step 5: Solve for x
    x = 326,221.19/527.76
  6. Step 6: Final answer
    x = 618.12

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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.