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Finding the Fourth Proportional to 549.73, 820.58 and 534.34

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Solution

The fourth proportional to 549.73, 820.58 and 534.34 is: 797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.73 : 820.58 = 534.34 : x
  2. Step 2: Convert to fraction form
    549.73/820.58 = 534.34/x
  3. Step 3: Cross multiply
    549.73x = 820.58 × 534.34
  4. Step 4: Simplify right side
    549.73x = 438,468.72
  5. Step 5: Solve for x
    x = 438,468.72/549.73
  6. Step 6: Final answer
    x = 797.61

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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.