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Finding the Fourth Proportional to 960.22, 1,438.89 and 686.89

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Solution

The fourth proportional to 960.22, 1,438.89 and 686.89 is: 1,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,438.89 = 686.89 : x
  2. Step 2: Convert to fraction form
    960.22/1,438.89 = 686.89/x
  3. Step 3: Cross multiply
    960.22x = 1,438.89 × 686.89
  4. Step 4: Simplify right side
    960.22x = 988,359.15
  5. Step 5: Solve for x
    x = 988,359.15/960.22
  6. Step 6: Final answer
    x = 1,029.30

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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.