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Finding the Fourth Proportional to 725.35, 1,001.07 and 477.77

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Solution

The fourth proportional to 725.35, 1,001.07 and 477.77 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.35 : 1,001.07 = 477.77 : x
  2. Step 2: Convert to fraction form
    725.35/1,001.07 = 477.77/x
  3. Step 3: Cross multiply
    725.35x = 1,001.07 × 477.77
  4. Step 4: Simplify right side
    725.35x = 478,281.84
  5. Step 5: Solve for x
    x = 478,281.84/725.35
  6. Step 6: Final answer
    x = 659.38

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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.