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Finding the Fourth Proportional to 871.55, 1,306.44 and 547.14

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Solution

The fourth proportional to 871.55, 1,306.44 and 547.14 is: 820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.55 : 1,306.44 = 547.14 : x
  2. Step 2: Convert to fraction form
    871.55/1,306.44 = 547.14/x
  3. Step 3: Cross multiply
    871.55x = 1,306.44 × 547.14
  4. Step 4: Simplify right side
    871.55x = 714,805.58
  5. Step 5: Solve for x
    x = 714,805.58/871.55
  6. Step 6: Final answer
    x = 820.15

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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.