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Finding the Fourth Proportional to 610.31, 842.33 and 480.31

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Solution

The fourth proportional to 610.31, 842.33 and 480.31 is: 662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 842.33 = 480.31 : x
  2. Step 2: Convert to fraction form
    610.31/842.33 = 480.31/x
  3. Step 3: Cross multiply
    610.31x = 842.33 × 480.31
  4. Step 4: Simplify right side
    610.31x = 404,579.52
  5. Step 5: Solve for x
    x = 404,579.52/610.31
  6. Step 6: Final answer
    x = 662.91

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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.