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Finding the Fourth Proportional to 610.38, 842.16 and 423.66

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Solution

The fourth proportional to 610.38, 842.16 and 423.66 is: 584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 842.16 = 423.66 : x
  2. Step 2: Convert to fraction form
    610.38/842.16 = 423.66/x
  3. Step 3: Cross multiply
    610.38x = 842.16 × 423.66
  4. Step 4: Simplify right side
    610.38x = 356,789.51
  5. Step 5: Solve for x
    x = 356,789.51/610.38
  6. Step 6: Final answer
    x = 584.54

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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.