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Finding the Fourth Proportional to 1,042.88, 1,439.17 and 577.13

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Solution

The fourth proportional to 1,042.88, 1,439.17 and 577.13 is: 796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.88 : 1,439.17 = 577.13 : x
  2. Step 2: Convert to fraction form
    1,042.88/1,439.17 = 577.13/x
  3. Step 3: Cross multiply
    1,042.88x = 1,439.17 × 577.13
  4. Step 4: Simplify right side
    1,042.88x = 830,579.54
  5. Step 5: Solve for x
    x = 830,579.54/1,042.88
  6. Step 6: Final answer
    x = 796.43

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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.