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Finding the Fourth Proportional to 1,229.53, 1,695.60 and 950.39

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Solution

The fourth proportional to 1,229.53, 1,695.60 and 950.39 is: 1,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.53 : 1,695.60 = 950.39 : x
  2. Step 2: Convert to fraction form
    1,229.53/1,695.60 = 950.39/x
  3. Step 3: Cross multiply
    1,229.53x = 1,695.60 × 950.39
  4. Step 4: Simplify right side
    1,229.53x = 1,611,481.28
  5. Step 5: Solve for x
    x = 1,611,481.28/1,229.53
  6. Step 6: Final answer
    x = 1,310.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.