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Finding the Fourth Proportional to 485.46, 669.35 and 396.61

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Solution

The fourth proportional to 485.46, 669.35 and 396.61 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.46 : 669.35 = 396.61 : x
  2. Step 2: Convert to fraction form
    485.46/669.35 = 396.61/x
  3. Step 3: Cross multiply
    485.46x = 669.35 × 396.61
  4. Step 4: Simplify right side
    485.46x = 265,472.73
  5. Step 5: Solve for x
    x = 265,472.73/485.46
  6. Step 6: Final answer
    x = 546.85

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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.