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Finding the Fourth Proportional to 610.20, 842.40 and 444.15

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Solution

The fourth proportional to 610.20, 842.40 and 444.15 is: 613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 842.40 = 444.15 : x
  2. Step 2: Convert to fraction form
    610.20/842.40 = 444.15/x
  3. Step 3: Cross multiply
    610.20x = 842.40 × 444.15
  4. Step 4: Simplify right side
    610.20x = 374,151.96
  5. Step 5: Solve for x
    x = 374,151.96/610.20
  6. Step 6: Final answer
    x = 613.16

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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.