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Finding the Fourth Proportional to 674.82, 1,012.53 and 493.71

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Solution

The fourth proportional to 674.82, 1,012.53 and 493.71 is: 740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.82 : 1,012.53 = 493.71 : x
  2. Step 2: Convert to fraction form
    674.82/1,012.53 = 493.71/x
  3. Step 3: Cross multiply
    674.82x = 1,012.53 × 493.71
  4. Step 4: Simplify right side
    674.82x = 499,896.19
  5. Step 5: Solve for x
    x = 499,896.19/674.82
  6. Step 6: Final answer
    x = 740.78

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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.