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Finding the Fourth Proportional to 610.20, 842.08 and 348.24

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Solution

The fourth proportional to 610.20, 842.08 and 348.24 is: 480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 842.08 = 348.24 : x
  2. Step 2: Convert to fraction form
    610.20/842.08 = 348.24/x
  3. Step 3: Cross multiply
    610.20x = 842.08 × 348.24
  4. Step 4: Simplify right side
    610.20x = 293,245.94
  5. Step 5: Solve for x
    x = 293,245.94/610.20
  6. Step 6: Final answer
    x = 480.57

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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.