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Finding the Fourth Proportional to 549.49, 823.05 and 517.18

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Solution

The fourth proportional to 549.49, 823.05 and 517.18 is: 774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.49 : 823.05 = 517.18 : x
  2. Step 2: Convert to fraction form
    549.49/823.05 = 517.18/x
  3. Step 3: Cross multiply
    549.49x = 823.05 × 517.18
  4. Step 4: Simplify right side
    549.49x = 425,665.00
  5. Step 5: Solve for x
    x = 425,665.00/549.49
  6. Step 6: Final answer
    x = 774.65

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1.5x scale

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.