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Finding the Fourth Proportional to 944.60, 1,419.62 and 876.69

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Solution

The fourth proportional to 944.60, 1,419.62 and 876.69 is: 1,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.60 : 1,419.62 = 876.69 : x
  2. Step 2: Convert to fraction form
    944.60/1,419.62 = 876.69/x
  3. Step 3: Cross multiply
    944.60x = 1,419.62 × 876.69
  4. Step 4: Simplify right side
    944.60x = 1,244,562.27
  5. Step 5: Solve for x
    x = 1,244,562.27/944.60
  6. Step 6: Final answer
    x = 1,317.56

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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.