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Finding the Fourth Proportional to 838.66, 1,255.92 and 676.66

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Solution

The fourth proportional to 838.66, 1,255.92 and 676.66 is: 1,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.66 : 1,255.92 = 676.66 : x
  2. Step 2: Convert to fraction form
    838.66/1,255.92 = 676.66/x
  3. Step 3: Cross multiply
    838.66x = 1,255.92 × 676.66
  4. Step 4: Simplify right side
    838.66x = 849,830.83
  5. Step 5: Solve for x
    x = 849,830.83/838.66
  6. Step 6: Final answer
    x = 1,013.32

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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.