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Finding the Fourth Proportional to 725.25, 1,000.85 and 414.75

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Solution

The fourth proportional to 725.25, 1,000.85 and 414.75 is: 572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.25 : 1,000.85 = 414.75 : x
  2. Step 2: Convert to fraction form
    725.25/1,000.85 = 414.75/x
  3. Step 3: Cross multiply
    725.25x = 1,000.85 × 414.75
  4. Step 4: Simplify right side
    725.25x = 415,100.46
  5. Step 5: Solve for x
    x = 415,100.46/725.25
  6. Step 6: Final answer
    x = 572.36

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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.