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Finding the Fourth Proportional to 958.14, 1,323.70 and 819.70

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Solution

The fourth proportional to 958.14, 1,323.70 and 819.70 is: 1,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.14 : 1,323.70 = 819.70 : x
  2. Step 2: Convert to fraction form
    958.14/1,323.70 = 819.70/x
  3. Step 3: Cross multiply
    958.14x = 1,323.70 × 819.70
  4. Step 4: Simplify right side
    958.14x = 1,085,036.89
  5. Step 5: Solve for x
    x = 1,085,036.89/958.14
  6. Step 6: Final answer
    x = 1,132.44

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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.