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Finding the Fourth Proportional to 549.31, 820.81 and 539.05

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Solution

The fourth proportional to 549.31, 820.81 and 539.05 is: 805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.31 : 820.81 = 539.05 : x
  2. Step 2: Convert to fraction form
    549.31/820.81 = 539.05/x
  3. Step 3: Cross multiply
    549.31x = 820.81 × 539.05
  4. Step 4: Simplify right side
    549.31x = 442,451.51
  5. Step 5: Solve for x
    x = 442,451.51/549.31
  6. Step 6: Final answer
    x = 805.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.