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Finding the Fourth Proportional to 549.50, 827.36 and 484.92

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Solution

The fourth proportional to 549.50, 827.36 and 484.92 is: 730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 827.36 = 484.92 : x
  2. Step 2: Convert to fraction form
    549.50/827.36 = 484.92/x
  3. Step 3: Cross multiply
    549.50x = 827.36 × 484.92
  4. Step 4: Simplify right side
    549.50x = 401,200.99
  5. Step 5: Solve for x
    x = 401,200.99/549.50
  6. Step 6: Final answer
    x = 730.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.