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Finding the Fourth Proportional to 691.96, 1,041.40 and 519.52

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Solution

The fourth proportional to 691.96, 1,041.40 and 519.52 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 1,041.40 = 519.52 : x
  2. Step 2: Convert to fraction form
    691.96/1,041.40 = 519.52/x
  3. Step 3: Cross multiply
    691.96x = 1,041.40 × 519.52
  4. Step 4: Simplify right side
    691.96x = 541,028.13
  5. Step 5: Solve for x
    x = 541,028.13/691.96
  6. Step 6: Final answer
    x = 781.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.