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Finding the Fourth Proportional to 1,117.76, 1,672.80 and 769.44

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Solution

The fourth proportional to 1,117.76, 1,672.80 and 769.44 is: 1,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.76 : 1,672.80 = 769.44 : x
  2. Step 2: Convert to fraction form
    1,117.76/1,672.80 = 769.44/x
  3. Step 3: Cross multiply
    1,117.76x = 1,672.80 × 769.44
  4. Step 4: Simplify right side
    1,117.76x = 1,287,119.23
  5. Step 5: Solve for x
    x = 1,287,119.23/1,117.76
  6. Step 6: Final answer
    x = 1,151.52

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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.