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Finding the Fourth Proportional to 1,042.44, 1,436.58 and 747.21

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Solution

The fourth proportional to 1,042.44, 1,436.58 and 747.21 is: 1,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.44 : 1,436.58 = 747.21 : x
  2. Step 2: Convert to fraction form
    1,042.44/1,436.58 = 747.21/x
  3. Step 3: Cross multiply
    1,042.44x = 1,436.58 × 747.21
  4. Step 4: Simplify right side
    1,042.44x = 1,073,426.94
  5. Step 5: Solve for x
    x = 1,073,426.94/1,042.44
  6. Step 6: Final answer
    x = 1,029.73

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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.