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Finding the Fourth Proportional to 641.70, 962.23 and 381.73

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Solution

The fourth proportional to 641.70, 962.23 and 381.73 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 962.23 = 381.73 : x
  2. Step 2: Convert to fraction form
    641.70/962.23 = 381.73/x
  3. Step 3: Cross multiply
    641.70x = 962.23 × 381.73
  4. Step 4: Simplify right side
    641.70x = 367,312.06
  5. Step 5: Solve for x
    x = 367,312.06/641.70
  6. Step 6: Final answer
    x = 572.40

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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.