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Finding the Fourth Proportional to 492.22, 675.71 and 487.61

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Solution

The fourth proportional to 492.22, 675.71 and 487.61 is: 669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.22 : 675.71 = 487.61 : x
  2. Step 2: Convert to fraction form
    492.22/675.71 = 487.61/x
  3. Step 3: Cross multiply
    492.22x = 675.71 × 487.61
  4. Step 4: Simplify right side
    492.22x = 329,481.50
  5. Step 5: Solve for x
    x = 329,481.50/492.22
  6. Step 6: Final answer
    x = 669.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.