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Finding the Fourth Proportional to 1,536.11, 2,304.07 and 658.61

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Solution

The fourth proportional to 1,536.11, 2,304.07 and 658.61 is: 987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.11 : 2,304.07 = 658.61 : x
  2. Step 2: Convert to fraction form
    1,536.11/2,304.07 = 658.61/x
  3. Step 3: Cross multiply
    1,536.11x = 2,304.07 × 658.61
  4. Step 4: Simplify right side
    1,536.11x = 1,517,487.66
  5. Step 5: Solve for x
    x = 1,517,487.66/1,536.11
  6. Step 6: Final answer
    x = 987.88

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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.