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Finding the Fourth Proportional to 549.62, 757.17 and 460.79

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Solution

The fourth proportional to 549.62, 757.17 and 460.79 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.62 : 757.17 = 460.79 : x
  2. Step 2: Convert to fraction form
    549.62/757.17 = 460.79/x
  3. Step 3: Cross multiply
    549.62x = 757.17 × 460.79
  4. Step 4: Simplify right side
    549.62x = 348,896.36
  5. Step 5: Solve for x
    x = 348,896.36/549.62
  6. Step 6: Final answer
    x = 634.80

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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.