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Finding the Fourth Proportional to 725.83, 1,002.15 and 446.42

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Solution

The fourth proportional to 725.83, 1,002.15 and 446.42 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.83 : 1,002.15 = 446.42 : x
  2. Step 2: Convert to fraction form
    725.83/1,002.15 = 446.42/x
  3. Step 3: Cross multiply
    725.83x = 1,002.15 × 446.42
  4. Step 4: Simplify right side
    725.83x = 447,382.31
  5. Step 5: Solve for x
    x = 447,382.31/725.83
  6. Step 6: Final answer
    x = 616.38

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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.