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Finding the Fourth Proportional to 549.84, 820.08 and 494.76

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Solution

The fourth proportional to 549.84, 820.08 and 494.76 is: 737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 820.08 = 494.76 : x
  2. Step 2: Convert to fraction form
    549.84/820.08 = 494.76/x
  3. Step 3: Cross multiply
    549.84x = 820.08 × 494.76
  4. Step 4: Simplify right side
    549.84x = 405,742.78
  5. Step 5: Solve for x
    x = 405,742.78/549.84
  6. Step 6: Final answer
    x = 737.93

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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.