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Finding the Fourth Proportional to 610.57, 842.38 and 344.98

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Solution

The fourth proportional to 610.57, 842.38 and 344.98 is: 475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.57 : 842.38 = 344.98 : x
  2. Step 2: Convert to fraction form
    610.57/842.38 = 344.98/x
  3. Step 3: Cross multiply
    610.57x = 842.38 × 344.98
  4. Step 4: Simplify right side
    610.57x = 290,604.25
  5. Step 5: Solve for x
    x = 290,604.25/610.57
  6. Step 6: Final answer
    x = 475.96

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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.