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Finding the Fourth Proportional to 674.53, 1,012.12 and 385.97

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Solution

The fourth proportional to 674.53, 1,012.12 and 385.97 is: 579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.53 : 1,012.12 = 385.97 : x
  2. Step 2: Convert to fraction form
    674.53/1,012.12 = 385.97/x
  3. Step 3: Cross multiply
    674.53x = 1,012.12 × 385.97
  4. Step 4: Simplify right side
    674.53x = 390,645.73
  5. Step 5: Solve for x
    x = 390,645.73/674.53
  6. Step 6: Final answer
    x = 579.14

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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.