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Finding the Fourth Proportional to 610.42, 842.12 and 397.66

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Solution

The fourth proportional to 610.42, 842.12 and 397.66 is: 548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 842.12 = 397.66 : x
  2. Step 2: Convert to fraction form
    610.42/842.12 = 397.66/x
  3. Step 3: Cross multiply
    610.42x = 842.12 × 397.66
  4. Step 4: Simplify right side
    610.42x = 334,877.44
  5. Step 5: Solve for x
    x = 334,877.44/610.42
  6. Step 6: Final answer
    x = 548.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.