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Finding the Fourth Proportional to 674.04, 1,012.68 and 638.40

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Solution

The fourth proportional to 674.04, 1,012.68 and 638.40 is: 959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.04 : 1,012.68 = 638.40 : x
  2. Step 2: Convert to fraction form
    674.04/1,012.68 = 638.40/x
  3. Step 3: Cross multiply
    674.04x = 1,012.68 × 638.40
  4. Step 4: Simplify right side
    674.04x = 646,494.91
  5. Step 5: Solve for x
    x = 646,494.91/674.04
  6. Step 6: Final answer
    x = 959.13

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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.