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Finding the Fourth Proportional to 1,298.47, 1,791.38 and 731.18

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Solution

The fourth proportional to 1,298.47, 1,791.38 and 731.18 is: 1,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.47 : 1,791.38 = 731.18 : x
  2. Step 2: Convert to fraction form
    1,298.47/1,791.38 = 731.18/x
  3. Step 3: Cross multiply
    1,298.47x = 1,791.38 × 731.18
  4. Step 4: Simplify right side
    1,298.47x = 1,309,808.62
  5. Step 5: Solve for x
    x = 1,309,808.62/1,298.47
  6. Step 6: Final answer
    x = 1,008.73

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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.