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Finding the Fourth Proportional to 549.18, 821.61 and 417.42

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Solution

The fourth proportional to 549.18, 821.61 and 417.42 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 821.61 = 417.42 : x
  2. Step 2: Convert to fraction form
    549.18/821.61 = 417.42/x
  3. Step 3: Cross multiply
    549.18x = 821.61 × 417.42
  4. Step 4: Simplify right side
    549.18x = 342,956.45
  5. Step 5: Solve for x
    x = 342,956.45/549.18
  6. Step 6: Final answer
    x = 624.49

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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.