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Finding the Fourth Proportional to 485.89, 732.46 and 454.14

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Solution

The fourth proportional to 485.89, 732.46 and 454.14 is: 684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.89 : 732.46 = 454.14 : x
  2. Step 2: Convert to fraction form
    485.89/732.46 = 454.14/x
  3. Step 3: Cross multiply
    485.89x = 732.46 × 454.14
  4. Step 4: Simplify right side
    485.89x = 332,640.27
  5. Step 5: Solve for x
    x = 332,640.27/485.89
  6. Step 6: Final answer
    x = 684.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.