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Finding the Fourth Proportional to 766.25, 1,149.29 and 521.03

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Solution

The fourth proportional to 766.25, 1,149.29 and 521.03 is: 781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.25 : 1,149.29 = 521.03 : x
  2. Step 2: Convert to fraction form
    766.25/1,149.29 = 521.03/x
  3. Step 3: Cross multiply
    766.25x = 1,149.29 × 521.03
  4. Step 4: Simplify right side
    766.25x = 598,814.57
  5. Step 5: Solve for x
    x = 598,814.57/766.25
  6. Step 6: Final answer
    x = 781.49

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Half scale
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.