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Finding the Fourth Proportional to 842.01, 1,261.18 and 408.25

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Solution

The fourth proportional to 842.01, 1,261.18 and 408.25 is: 611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.01 : 1,261.18 = 408.25 : x
  2. Step 2: Convert to fraction form
    842.01/1,261.18 = 408.25/x
  3. Step 3: Cross multiply
    842.01x = 1,261.18 × 408.25
  4. Step 4: Simplify right side
    842.01x = 514,876.74
  5. Step 5: Solve for x
    x = 514,876.74/842.01
  6. Step 6: Final answer
    x = 611.49

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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.