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Finding the Fourth Proportional to 952.30, 1,428.45 and 849.70

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Solution

The fourth proportional to 952.30, 1,428.45 and 849.70 is: 1,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.30 : 1,428.45 = 849.70 : x
  2. Step 2: Convert to fraction form
    952.30/1,428.45 = 849.70/x
  3. Step 3: Cross multiply
    952.30x = 1,428.45 × 849.70
  4. Step 4: Simplify right side
    952.30x = 1,213,753.97
  5. Step 5: Solve for x
    x = 1,213,753.97/952.30
  6. Step 6: Final answer
    x = 1,274.55

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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.