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Finding the Fourth Proportional to 1,042.59, 1,562.13 and 733.90

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Solution

The fourth proportional to 1,042.59, 1,562.13 and 733.90 is: 1,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,562.13 = 733.90 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,562.13 = 733.90/x
  3. Step 3: Cross multiply
    1,042.59x = 1,562.13 × 733.90
  4. Step 4: Simplify right side
    1,042.59x = 1,146,447.21
  5. Step 5: Solve for x
    x = 1,146,447.21/1,042.59
  6. Step 6: Final answer
    x = 1,099.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.