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Finding the Fourth Proportional to 674.71, 1,012.07 and 630.97

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Solution

The fourth proportional to 674.71, 1,012.07 and 630.97 is: 946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.71 : 1,012.07 = 630.97 : x
  2. Step 2: Convert to fraction form
    674.71/1,012.07 = 630.97/x
  3. Step 3: Cross multiply
    674.71x = 1,012.07 × 630.97
  4. Step 4: Simplify right side
    674.71x = 638,585.81
  5. Step 5: Solve for x
    x = 638,585.81/674.71
  6. Step 6: Final answer
    x = 946.46

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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.