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Finding the Fourth Proportional to 610.62, 842.54 and 444.88

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Solution

The fourth proportional to 610.62, 842.54 and 444.88 is: 613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.62 : 842.54 = 444.88 : x
  2. Step 2: Convert to fraction form
    610.62/842.54 = 444.88/x
  3. Step 3: Cross multiply
    610.62x = 842.54 × 444.88
  4. Step 4: Simplify right side
    610.62x = 374,829.20
  5. Step 5: Solve for x
    x = 374,829.20/610.62
  6. Step 6: Final answer
    x = 613.85

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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.