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Finding the Fourth Proportional to 836.23, 1,253.91 and 489.64

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Solution

The fourth proportional to 836.23, 1,253.91 and 489.64 is: 734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.23 : 1,253.91 = 489.64 : x
  2. Step 2: Convert to fraction form
    836.23/1,253.91 = 489.64/x
  3. Step 3: Cross multiply
    836.23x = 1,253.91 × 489.64
  4. Step 4: Simplify right side
    836.23x = 613,964.49
  5. Step 5: Solve for x
    x = 613,964.49/836.23
  6. Step 6: Final answer
    x = 734.21

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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.