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Finding the Fourth Proportional to 549.75, 758.67 and 316.89

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Solution

The fourth proportional to 549.75, 758.67 and 316.89 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 758.67 = 316.89 : x
  2. Step 2: Convert to fraction form
    549.75/758.67 = 316.89/x
  3. Step 3: Cross multiply
    549.75x = 758.67 × 316.89
  4. Step 4: Simplify right side
    549.75x = 240,414.94
  5. Step 5: Solve for x
    x = 240,414.94/549.75
  6. Step 6: Final answer
    x = 437.32

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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.