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Finding the Fourth Proportional to 674.55, 1,013.56 and 635.20

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Solution

The fourth proportional to 674.55, 1,013.56 and 635.20 is: 954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.55 : 1,013.56 = 635.20 : x
  2. Step 2: Convert to fraction form
    674.55/1,013.56 = 635.20/x
  3. Step 3: Cross multiply
    674.55x = 1,013.56 × 635.20
  4. Step 4: Simplify right side
    674.55x = 643,809.19
  5. Step 5: Solve for x
    x = 643,809.19/674.55
  6. Step 6: Final answer
    x = 954.43

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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.