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Finding the Fourth Proportional to 949.79, 1,311.17 and 784.95

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Solution

The fourth proportional to 949.79, 1,311.17 and 784.95 is: 1,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.79 : 1,311.17 = 784.95 : x
  2. Step 2: Convert to fraction form
    949.79/1,311.17 = 784.95/x
  3. Step 3: Cross multiply
    949.79x = 1,311.17 × 784.95
  4. Step 4: Simplify right side
    949.79x = 1,029,198.97
  5. Step 5: Solve for x
    x = 1,029,198.97/949.79
  6. Step 6: Final answer
    x = 1,083.61

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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.