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Finding the Fourth Proportional to 532.72, 733.92 and 457.84

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Solution

The fourth proportional to 532.72, 733.92 and 457.84 is: 630.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.72 : 733.92 = 457.84 : x
  2. Step 2: Convert to fraction form
    532.72/733.92 = 457.84/x
  3. Step 3: Cross multiply
    532.72x = 733.92 × 457.84
  4. Step 4: Simplify right side
    532.72x = 336,017.93
  5. Step 5: Solve for x
    x = 336,017.93/532.72
  6. Step 6: Final answer
    x = 630.76

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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.