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Finding the Fourth Proportional to 876.87, 1,311.42 and 780.05

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Solution

The fourth proportional to 876.87, 1,311.42 and 780.05 is: 1,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.87 : 1,311.42 = 780.05 : x
  2. Step 2: Convert to fraction form
    876.87/1,311.42 = 780.05/x
  3. Step 3: Cross multiply
    876.87x = 1,311.42 × 780.05
  4. Step 4: Simplify right side
    876.87x = 1,022,966.61
  5. Step 5: Solve for x
    x = 1,022,966.61/876.87
  6. Step 6: Final answer
    x = 1,166.61

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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.