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Finding the Fourth Proportional to 838.46, 1,248.76 and 828.74

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Solution

The fourth proportional to 838.46, 1,248.76 and 828.74 is: 1,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,248.76 = 828.74 : x
  2. Step 2: Convert to fraction form
    838.46/1,248.76 = 828.74/x
  3. Step 3: Cross multiply
    838.46x = 1,248.76 × 828.74
  4. Step 4: Simplify right side
    838.46x = 1,034,897.36
  5. Step 5: Solve for x
    x = 1,034,897.36/838.46
  6. Step 6: Final answer
    x = 1,234.28

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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.