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Finding the Fourth Proportional to 876.14, 1,314.78 and 805.75

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Solution

The fourth proportional to 876.14, 1,314.78 and 805.75 is: 1,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.14 : 1,314.78 = 805.75 : x
  2. Step 2: Convert to fraction form
    876.14/1,314.78 = 805.75/x
  3. Step 3: Cross multiply
    876.14x = 1,314.78 × 805.75
  4. Step 4: Simplify right side
    876.14x = 1,059,377.68
  5. Step 5: Solve for x
    x = 1,059,377.68/876.14
  6. Step 6: Final answer
    x = 1,209.14

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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.