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Finding the Fourth Proportional to 642.76, 886.02 and 474.28

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Solution

The fourth proportional to 642.76, 886.02 and 474.28 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.76 : 886.02 = 474.28 : x
  2. Step 2: Convert to fraction form
    642.76/886.02 = 474.28/x
  3. Step 3: Cross multiply
    642.76x = 886.02 × 474.28
  4. Step 4: Simplify right side
    642.76x = 420,221.57
  5. Step 5: Solve for x
    x = 420,221.57/642.76
  6. Step 6: Final answer
    x = 653.78

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Find fourth proportional to 321.38, 443.01 and 237.14
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Double scale
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1.5x scale

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.