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Finding the Fourth Proportional to 952.89, 1,309.93 and 819.62

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Solution

The fourth proportional to 952.89, 1,309.93 and 819.62 is: 1,126.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.89 : 1,309.93 = 819.62 : x
  2. Step 2: Convert to fraction form
    952.89/1,309.93 = 819.62/x
  3. Step 3: Cross multiply
    952.89x = 1,309.93 × 819.62
  4. Step 4: Simplify right side
    952.89x = 1,073,644.83
  5. Step 5: Solve for x
    x = 1,073,644.83/952.89
  6. Step 6: Final answer
    x = 1,126.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.