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Finding the Fourth Proportional to 610.42, 842.36 and 344.83

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Solution

The fourth proportional to 610.42, 842.36 and 344.83 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.42 : 842.36 = 344.83 : x
  2. Step 2: Convert to fraction form
    610.42/842.36 = 344.83/x
  3. Step 3: Cross multiply
    610.42x = 842.36 × 344.83
  4. Step 4: Simplify right side
    610.42x = 290,471.36
  5. Step 5: Solve for x
    x = 290,471.36/610.42
  6. Step 6: Final answer
    x = 475.85

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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.