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Finding the Fourth Proportional to 943.80, 1,311.18 and 934.80

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Solution

The fourth proportional to 943.80, 1,311.18 and 934.80 is: 1,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.80 : 1,311.18 = 934.80 : x
  2. Step 2: Convert to fraction form
    943.80/1,311.18 = 934.80/x
  3. Step 3: Cross multiply
    943.80x = 1,311.18 × 934.80
  4. Step 4: Simplify right side
    943.80x = 1,225,691.06
  5. Step 5: Solve for x
    x = 1,225,691.06/943.80
  6. Step 6: Final answer
    x = 1,298.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.