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Finding the Fourth Proportional to 1,117.80, 1,542.46 and 675.86

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Solution

The fourth proportional to 1,117.80, 1,542.46 and 675.86 is: 932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.80 : 1,542.46 = 675.86 : x
  2. Step 2: Convert to fraction form
    1,117.80/1,542.46 = 675.86/x
  3. Step 3: Cross multiply
    1,117.80x = 1,542.46 × 675.86
  4. Step 4: Simplify right side
    1,117.80x = 1,042,487.02
  5. Step 5: Solve for x
    x = 1,042,487.02/1,117.80
  6. Step 6: Final answer
    x = 932.62

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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.