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Finding the Fourth Proportional to 1,316.71, 1,972.92 and 769.36

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Solution

The fourth proportional to 1,316.71, 1,972.92 and 769.36 is: 1,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.71 : 1,972.92 = 769.36 : x
  2. Step 2: Convert to fraction form
    1,316.71/1,972.92 = 769.36/x
  3. Step 3: Cross multiply
    1,316.71x = 1,972.92 × 769.36
  4. Step 4: Simplify right side
    1,316.71x = 1,517,885.73
  5. Step 5: Solve for x
    x = 1,517,885.73/1,316.71
  6. Step 6: Final answer
    x = 1,152.79

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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.