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Finding the Fourth Proportional to 549.30, 757.80 and 374.61

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Solution

The fourth proportional to 549.30, 757.80 and 374.61 is: 516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.30 : 757.80 = 374.61 : x
  2. Step 2: Convert to fraction form
    549.30/757.80 = 374.61/x
  3. Step 3: Cross multiply
    549.30x = 757.80 × 374.61
  4. Step 4: Simplify right side
    549.30x = 283,879.46
  5. Step 5: Solve for x
    x = 283,879.46/549.30
  6. Step 6: Final answer
    x = 516.80

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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.