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Finding the Fourth Proportional to 839.57, 1,257.51 and 822.95

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Solution

The fourth proportional to 839.57, 1,257.51 and 822.95 is: 1,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.57 : 1,257.51 = 822.95 : x
  2. Step 2: Convert to fraction form
    839.57/1,257.51 = 822.95/x
  3. Step 3: Cross multiply
    839.57x = 1,257.51 × 822.95
  4. Step 4: Simplify right side
    839.57x = 1,034,867.85
  5. Step 5: Solve for x
    x = 1,034,867.85/839.57
  6. Step 6: Final answer
    x = 1,232.62

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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.