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Finding the Fourth Proportional to 674.68, 932 and 642.28

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Solution

The fourth proportional to 674.68, 932 and 642.28 is: 887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.68 : 932 = 642.28 : x
  2. Step 2: Convert to fraction form
    674.68/932 = 642.28/x
  3. Step 3: Cross multiply
    674.68x = 932 × 642.28
  4. Step 4: Simplify right side
    674.68x = 598,604.96
  5. Step 5: Solve for x
    x = 598,604.96/674.68
  6. Step 6: Final answer
    x = 887.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.