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Finding the Fourth Proportional to 838.95, 1,251.57 and 816.33

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Solution

The fourth proportional to 838.95, 1,251.57 and 816.33 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.95 : 1,251.57 = 816.33 : x
  2. Step 2: Convert to fraction form
    838.95/1,251.57 = 816.33/x
  3. Step 3: Cross multiply
    838.95x = 1,251.57 × 816.33
  4. Step 4: Simplify right side
    838.95x = 1,021,694.14
  5. Step 5: Solve for x
    x = 1,021,694.14/838.95
  6. Step 6: Final answer
    x = 1,217.82

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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.