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Finding the Fourth Proportional to 549.43, 821.64 and 410.70

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Solution

The fourth proportional to 549.43, 821.64 and 410.70 is: 614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.43 : 821.64 = 410.70 : x
  2. Step 2: Convert to fraction form
    549.43/821.64 = 410.70/x
  3. Step 3: Cross multiply
    549.43x = 821.64 × 410.70
  4. Step 4: Simplify right side
    549.43x = 337,447.55
  5. Step 5: Solve for x
    x = 337,447.55/549.43
  6. Step 6: Final answer
    x = 614.18

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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.