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Finding the Fourth Proportional to 549.39, 823.17 and 386.74

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Solution

The fourth proportional to 549.39, 823.17 and 386.74 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.39 : 823.17 = 386.74 : x
  2. Step 2: Convert to fraction form
    549.39/823.17 = 386.74/x
  3. Step 3: Cross multiply
    549.39x = 823.17 × 386.74
  4. Step 4: Simplify right side
    549.39x = 318,355.25
  5. Step 5: Solve for x
    x = 318,355.25/549.39
  6. Step 6: Final answer
    x = 579.47

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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.