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Finding the Fourth Proportional to 642.47, 963.70 and 155.52

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Solution

The fourth proportional to 642.47, 963.70 and 155.52 is: 233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 963.70 = 155.52 : x
  2. Step 2: Convert to fraction form
    642.47/963.70 = 155.52/x
  3. Step 3: Cross multiply
    642.47x = 963.70 × 155.52
  4. Step 4: Simplify right side
    642.47x = 149,869.81
  5. Step 5: Solve for x
    x = 149,869.81/642.47
  6. Step 6: Final answer
    x = 233.27

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Double scale
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Similar ratio
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1.5x scale

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.