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Finding the Fourth Proportional to 1,042.47, 1,437.24 and 865.59

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Solution

The fourth proportional to 1,042.47, 1,437.24 and 865.59 is: 1,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.47 : 1,437.24 = 865.59 : x
  2. Step 2: Convert to fraction form
    1,042.47/1,437.24 = 865.59/x
  3. Step 3: Cross multiply
    1,042.47x = 1,437.24 × 865.59
  4. Step 4: Simplify right side
    1,042.47x = 1,244,058.43
  5. Step 5: Solve for x
    x = 1,244,058.43/1,042.47
  6. Step 6: Final answer
    x = 1,193.38

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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.