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Finding the Fourth Proportional to 527.08, 726.96 and 457.96

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Solution

The fourth proportional to 527.08, 726.96 and 457.96 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.08 : 726.96 = 457.96 : x
  2. Step 2: Convert to fraction form
    527.08/726.96 = 457.96/x
  3. Step 3: Cross multiply
    527.08x = 726.96 × 457.96
  4. Step 4: Simplify right side
    527.08x = 332,918.60
  5. Step 5: Solve for x
    x = 332,918.60/527.08
  6. Step 6: Final answer
    x = 631.63

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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.