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Finding the Fourth Proportional to 836.35, 1,254.10 and 489.78

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Solution

The fourth proportional to 836.35, 1,254.10 and 489.78 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.35 : 1,254.10 = 489.78 : x
  2. Step 2: Convert to fraction form
    836.35/1,254.10 = 489.78/x
  3. Step 3: Cross multiply
    836.35x = 1,254.10 × 489.78
  4. Step 4: Simplify right side
    836.35x = 614,233.10
  5. Step 5: Solve for x
    x = 614,233.10/836.35
  6. Step 6: Final answer
    x = 734.42

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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.