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Finding the Fourth Proportional to 641.72, 962.27 and 381.76

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Solution

The fourth proportional to 641.72, 962.27 and 381.76 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.72 : 962.27 = 381.76 : x
  2. Step 2: Convert to fraction form
    641.72/962.27 = 381.76/x
  3. Step 3: Cross multiply
    641.72x = 962.27 × 381.76
  4. Step 4: Simplify right side
    641.72x = 367,354.74
  5. Step 5: Solve for x
    x = 367,354.74/641.72
  6. Step 6: Final answer
    x = 572.45

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Double scale
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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.