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Finding the Fourth Proportional to 871.35, 1,306.59 and 278.29

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Solution

The fourth proportional to 871.35, 1,306.59 and 278.29 is: 417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.35 : 1,306.59 = 278.29 : x
  2. Step 2: Convert to fraction form
    871.35/1,306.59 = 278.29/x
  3. Step 3: Cross multiply
    871.35x = 1,306.59 × 278.29
  4. Step 4: Simplify right side
    871.35x = 363,611.58
  5. Step 5: Solve for x
    x = 363,611.58/871.35
  6. Step 6: Final answer
    x = 417.30

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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.