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Finding the Fourth Proportional to 977.31, 1,350.40 and 769.14

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Solution

The fourth proportional to 977.31, 1,350.40 and 769.14 is: 1,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.31 : 1,350.40 = 769.14 : x
  2. Step 2: Convert to fraction form
    977.31/1,350.40 = 769.14/x
  3. Step 3: Cross multiply
    977.31x = 1,350.40 × 769.14
  4. Step 4: Simplify right side
    977.31x = 1,038,644.73
  5. Step 5: Solve for x
    x = 1,038,644.73/977.31
  6. Step 6: Final answer
    x = 1,062.76

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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.