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Finding the Fourth Proportional to 1,042.64, 1,439.88 and 628.88

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Solution

The fourth proportional to 1,042.64, 1,439.88 and 628.88 is: 868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.64 : 1,439.88 = 628.88 : x
  2. Step 2: Convert to fraction form
    1,042.64/1,439.88 = 628.88/x
  3. Step 3: Cross multiply
    1,042.64x = 1,439.88 × 628.88
  4. Step 4: Simplify right side
    1,042.64x = 905,511.73
  5. Step 5: Solve for x
    x = 905,511.73/1,042.64
  6. Step 6: Final answer
    x = 868.48

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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.