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Finding the Fourth Proportional to 527.29, 726.74 and 453.31

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Solution

The fourth proportional to 527.29, 726.74 and 453.31 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.29 : 726.74 = 453.31 : x
  2. Step 2: Convert to fraction form
    527.29/726.74 = 453.31/x
  3. Step 3: Cross multiply
    527.29x = 726.74 × 453.31
  4. Step 4: Simplify right side
    527.29x = 329,438.51
  5. Step 5: Solve for x
    x = 329,438.51/527.29
  6. Step 6: Final answer
    x = 624.78

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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.