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Finding the Fourth Proportional to 991.70, 1,368.80 and 769.96

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Solution

The fourth proportional to 991.70, 1,368.80 and 769.96 is: 1,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.70 : 1,368.80 = 769.96 : x
  2. Step 2: Convert to fraction form
    991.70/1,368.80 = 769.96/x
  3. Step 3: Cross multiply
    991.70x = 1,368.80 × 769.96
  4. Step 4: Simplify right side
    991.70x = 1,053,921.25
  5. Step 5: Solve for x
    x = 1,053,921.25/991.70
  6. Step 6: Final answer
    x = 1,062.74

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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.