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Finding the Fourth Proportional to 863.87, 1,278.18 and 861.44

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Solution

The fourth proportional to 863.87, 1,278.18 and 861.44 is: 1,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,278.18 = 861.44 : x
  2. Step 2: Convert to fraction form
    863.87/1,278.18 = 861.44/x
  3. Step 3: Cross multiply
    863.87x = 1,278.18 × 861.44
  4. Step 4: Simplify right side
    863.87x = 1,101,068.99
  5. Step 5: Solve for x
    x = 1,101,068.99/863.87
  6. Step 6: Final answer
    x = 1,274.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.