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Finding the Fourth Proportional to 549.83, 824.10 and 305.86

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Solution

The fourth proportional to 549.83, 824.10 and 305.86 is: 458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.83 : 824.10 = 305.86 : x
  2. Step 2: Convert to fraction form
    549.83/824.10 = 305.86/x
  3. Step 3: Cross multiply
    549.83x = 824.10 × 305.86
  4. Step 4: Simplify right side
    549.83x = 252,060.26
  5. Step 5: Solve for x
    x = 252,060.26/549.83
  6. Step 6: Final answer
    x = 458.44

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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.