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Finding the Fourth Proportional to 836.73, 1,255.23 and 420.66

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Solution

The fourth proportional to 836.73, 1,255.23 and 420.66 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,255.23 = 420.66 : x
  2. Step 2: Convert to fraction form
    836.73/1,255.23 = 420.66/x
  3. Step 3: Cross multiply
    836.73x = 1,255.23 × 420.66
  4. Step 4: Simplify right side
    836.73x = 528,025.05
  5. Step 5: Solve for x
    x = 528,025.05/836.73
  6. Step 6: Final answer
    x = 631.06

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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.