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Finding the Fourth Proportional to 674.70, 1,010.84 and 647.97

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Solution

The fourth proportional to 674.70, 1,010.84 and 647.97 is: 970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.70 : 1,010.84 = 647.97 : x
  2. Step 2: Convert to fraction form
    674.70/1,010.84 = 647.97/x
  3. Step 3: Cross multiply
    674.70x = 1,010.84 × 647.97
  4. Step 4: Simplify right side
    674.70x = 654,990.75
  5. Step 5: Solve for x
    x = 654,990.75/674.70
  6. Step 6: Final answer
    x = 970.79

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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.