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Finding the Fourth Proportional to 725.39, 1,001.12 and 430.68

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Solution

The fourth proportional to 725.39, 1,001.12 and 430.68 is: 594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.39 : 1,001.12 = 430.68 : x
  2. Step 2: Convert to fraction form
    725.39/1,001.12 = 430.68/x
  3. Step 3: Cross multiply
    725.39x = 1,001.12 × 430.68
  4. Step 4: Simplify right side
    725.39x = 431,160.21
  5. Step 5: Solve for x
    x = 431,160.21/725.39
  6. Step 6: Final answer
    x = 594.39

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Half scale
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Double scale
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Similar ratio
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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.