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Finding the Fourth Proportional to 610.33, 842.27 and 348.35

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Solution

The fourth proportional to 610.33, 842.27 and 348.35 is: 480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.33 : 842.27 = 348.35 : x
  2. Step 2: Convert to fraction form
    610.33/842.27 = 348.35/x
  3. Step 3: Cross multiply
    610.33x = 842.27 × 348.35
  4. Step 4: Simplify right side
    610.33x = 293,398.80
  5. Step 5: Solve for x
    x = 293,398.80/610.33
  6. Step 6: Final answer
    x = 480.72

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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.