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Finding the Fourth Proportional to 1,001.77, 1,382.42 and 559.66

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Solution

The fourth proportional to 1,001.77, 1,382.42 and 559.66 is: 772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.77 : 1,382.42 = 559.66 : x
  2. Step 2: Convert to fraction form
    1,001.77/1,382.42 = 559.66/x
  3. Step 3: Cross multiply
    1,001.77x = 1,382.42 × 559.66
  4. Step 4: Simplify right side
    1,001.77x = 773,682.56
  5. Step 5: Solve for x
    x = 773,682.56/1,001.77
  6. Step 6: Final answer
    x = 772.32

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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.