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Finding the Fourth Proportional to 836.27, 1,254.48 and 280.96

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Solution

The fourth proportional to 836.27, 1,254.48 and 280.96 is: 421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.27 : 1,254.48 = 280.96 : x
  2. Step 2: Convert to fraction form
    836.27/1,254.48 = 280.96/x
  3. Step 3: Cross multiply
    836.27x = 1,254.48 × 280.96
  4. Step 4: Simplify right side
    836.27x = 352,458.83
  5. Step 5: Solve for x
    x = 352,458.83/836.27
  6. Step 6: Final answer
    x = 421.46

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1.5x scale

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.