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Finding the Fourth Proportional to 1,042.80, 1,435.32 and 731.76

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Solution

The fourth proportional to 1,042.80, 1,435.32 and 731.76 is: 1,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.80 : 1,435.32 = 731.76 : x
  2. Step 2: Convert to fraction form
    1,042.80/1,435.32 = 731.76/x
  3. Step 3: Cross multiply
    1,042.80x = 1,435.32 × 731.76
  4. Step 4: Simplify right side
    1,042.80x = 1,050,309.76
  5. Step 5: Solve for x
    x = 1,050,309.76/1,042.80
  6. Step 6: Final answer
    x = 1,007.20

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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.