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Finding the Fourth Proportional to 976.73, 1,340.55 and 869.40

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Solution

The fourth proportional to 976.73, 1,340.55 and 869.40 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.73 : 1,340.55 = 869.40 : x
  2. Step 2: Convert to fraction form
    976.73/1,340.55 = 869.40/x
  3. Step 3: Cross multiply
    976.73x = 1,340.55 × 869.40
  4. Step 4: Simplify right side
    976.73x = 1,165,474.17
  5. Step 5: Solve for x
    x = 1,165,474.17/976.73
  6. Step 6: Final answer
    x = 1,193.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.