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Finding the Fourth Proportional to 1,001.43, 1,381.90 and 559.36

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Solution

The fourth proportional to 1,001.43, 1,381.90 and 559.36 is: 771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.43 : 1,381.90 = 559.36 : x
  2. Step 2: Convert to fraction form
    1,001.43/1,381.90 = 559.36/x
  3. Step 3: Cross multiply
    1,001.43x = 1,381.90 × 559.36
  4. Step 4: Simplify right side
    1,001.43x = 772,979.58
  5. Step 5: Solve for x
    x = 772,979.58/1,001.43
  6. Step 6: Final answer
    x = 771.88

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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.