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Finding the Fourth Proportional to 839.06, 1,252.48 and 769.82

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Solution

The fourth proportional to 839.06, 1,252.48 and 769.82 is: 1,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.06 : 1,252.48 = 769.82 : x
  2. Step 2: Convert to fraction form
    839.06/1,252.48 = 769.82/x
  3. Step 3: Cross multiply
    839.06x = 1,252.48 × 769.82
  4. Step 4: Simplify right side
    839.06x = 964,184.15
  5. Step 5: Solve for x
    x = 964,184.15/839.06
  6. Step 6: Final answer
    x = 1,149.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.