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Finding the Fourth Proportional to 871.14, 1,306.86 and 597.77

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Solution

The fourth proportional to 871.14, 1,306.86 and 597.77 is: 896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.14 : 1,306.86 = 597.77 : x
  2. Step 2: Convert to fraction form
    871.14/1,306.86 = 597.77/x
  3. Step 3: Cross multiply
    871.14x = 1,306.86 × 597.77
  4. Step 4: Simplify right side
    871.14x = 781,195.17
  5. Step 5: Solve for x
    x = 781,195.17/871.14
  6. Step 6: Final answer
    x = 896.75

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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.