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Finding the Fourth Proportional to 990.70, 1,367.49 and 780.92

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Solution

The fourth proportional to 990.70, 1,367.49 and 780.92 is: 1,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.70 : 1,367.49 = 780.92 : x
  2. Step 2: Convert to fraction form
    990.70/1,367.49 = 780.92/x
  3. Step 3: Cross multiply
    990.70x = 1,367.49 × 780.92
  4. Step 4: Simplify right side
    990.70x = 1,067,900.29
  5. Step 5: Solve for x
    x = 1,067,900.29/990.70
  6. Step 6: Final answer
    x = 1,077.92

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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.