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Finding the Fourth Proportional to 490.67, 731.08 and 459.89

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Solution

The fourth proportional to 490.67, 731.08 and 459.89 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.67 : 731.08 = 459.89 : x
  2. Step 2: Convert to fraction form
    490.67/731.08 = 459.89/x
  3. Step 3: Cross multiply
    490.67x = 731.08 × 459.89
  4. Step 4: Simplify right side
    490.67x = 336,211.58
  5. Step 5: Solve for x
    x = 336,211.58/490.67
  6. Step 6: Final answer
    x = 685.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.