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Finding the Fourth Proportional to 527.65, 726.37 and 453.53

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Solution

The fourth proportional to 527.65, 726.37 and 453.53 is: 624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.65 : 726.37 = 453.53 : x
  2. Step 2: Convert to fraction form
    527.65/726.37 = 453.53/x
  3. Step 3: Cross multiply
    527.65x = 726.37 × 453.53
  4. Step 4: Simplify right side
    527.65x = 329,431.27
  5. Step 5: Solve for x
    x = 329,431.27/527.65
  6. Step 6: Final answer
    x = 624.34

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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.