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Finding the Fourth Proportional to 610.23, 842.21 and 462.62

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Solution

The fourth proportional to 610.23, 842.21 and 462.62 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.23 : 842.21 = 462.62 : x
  2. Step 2: Convert to fraction form
    610.23/842.21 = 462.62/x
  3. Step 3: Cross multiply
    610.23x = 842.21 × 462.62
  4. Step 4: Simplify right side
    610.23x = 389,616.67
  5. Step 5: Solve for x
    x = 389,616.67/610.23
  6. Step 6: Final answer
    x = 638.48

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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.