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Finding the Fourth Proportional to 725.39, 1,000.97 and 410.67

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Solution

The fourth proportional to 725.39, 1,000.97 and 410.67 is: 566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.39 : 1,000.97 = 410.67 : x
  2. Step 2: Convert to fraction form
    725.39/1,000.97 = 410.67/x
  3. Step 3: Cross multiply
    725.39x = 1,000.97 × 410.67
  4. Step 4: Simplify right side
    725.39x = 411,066.30
  5. Step 5: Solve for x
    x = 411,066.30/725.39
  6. Step 6: Final answer
    x = 566.69

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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.