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Finding the Fourth Proportional to 674.28, 1,011.48 and 493.92

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Solution

The fourth proportional to 674.28, 1,011.48 and 493.92 is: 740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.28 : 1,011.48 = 493.92 : x
  2. Step 2: Convert to fraction form
    674.28/1,011.48 = 493.92/x
  3. Step 3: Cross multiply
    674.28x = 1,011.48 × 493.92
  4. Step 4: Simplify right side
    674.28x = 499,590.20
  5. Step 5: Solve for x
    x = 499,590.20/674.28
  6. Step 6: Final answer
    x = 740.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.