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Finding the Fourth Proportional to 725.63, 1,001.79 and 477.38

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Solution

The fourth proportional to 725.63, 1,001.79 and 477.38 is: 659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.63 : 1,001.79 = 477.38 : x
  2. Step 2: Convert to fraction form
    725.63/1,001.79 = 477.38/x
  3. Step 3: Cross multiply
    725.63x = 1,001.79 × 477.38
  4. Step 4: Simplify right side
    725.63x = 478,229.50
  5. Step 5: Solve for x
    x = 478,229.50/725.63
  6. Step 6: Final answer
    x = 659.06

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Half scale
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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.