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Finding the Fourth Proportional to 549.10, 823.79 and 387.10

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Solution

The fourth proportional to 549.10, 823.79 and 387.10 is: 580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.10 : 823.79 = 387.10 : x
  2. Step 2: Convert to fraction form
    549.10/823.79 = 387.10/x
  3. Step 3: Cross multiply
    549.10x = 823.79 × 387.10
  4. Step 4: Simplify right side
    549.10x = 318,889.11
  5. Step 5: Solve for x
    x = 318,889.11/549.10
  6. Step 6: Final answer
    x = 580.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.