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Finding the Fourth Proportional to 674.73, 1,010.07 and 442.97

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Solution

The fourth proportional to 674.73, 1,010.07 and 442.97 is: 663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.73 : 1,010.07 = 442.97 : x
  2. Step 2: Convert to fraction form
    674.73/1,010.07 = 442.97/x
  3. Step 3: Cross multiply
    674.73x = 1,010.07 × 442.97
  4. Step 4: Simplify right side
    674.73x = 447,429.45
  5. Step 5: Solve for x
    x = 447,429.45/674.73
  6. Step 6: Final answer
    x = 663.12

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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.