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Finding the Fourth Proportional to 1,306.64, 1,957.08 and 871.76

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Solution

The fourth proportional to 1,306.64, 1,957.08 and 871.76 is: 1,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.64 : 1,957.08 = 871.76 : x
  2. Step 2: Convert to fraction form
    1,306.64/1,957.08 = 871.76/x
  3. Step 3: Cross multiply
    1,306.64x = 1,957.08 × 871.76
  4. Step 4: Simplify right side
    1,306.64x = 1,706,104.06
  5. Step 5: Solve for x
    x = 1,706,104.06/1,306.64
  6. Step 6: Final answer
    x = 1,305.72

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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.