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Finding the Fourth Proportional to 1,001.42, 1,382.13 and 559.46

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Solution

The fourth proportional to 1,001.42, 1,382.13 and 559.46 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.42 : 1,382.13 = 559.46 : x
  2. Step 2: Convert to fraction form
    1,001.42/1,382.13 = 559.46/x
  3. Step 3: Cross multiply
    1,001.42x = 1,382.13 × 559.46
  4. Step 4: Simplify right side
    1,001.42x = 773,249.91
  5. Step 5: Solve for x
    x = 773,249.91/1,001.42
  6. Step 6: Final answer
    x = 772.15

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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.