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Finding the Fourth Proportional to 549.80, 756.30 and 449.09

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Solution

The fourth proportional to 549.80, 756.30 and 449.09 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.80 : 756.30 = 449.09 : x
  2. Step 2: Convert to fraction form
    549.80/756.30 = 449.09/x
  3. Step 3: Cross multiply
    549.80x = 756.30 × 449.09
  4. Step 4: Simplify right side
    549.80x = 339,646.77
  5. Step 5: Solve for x
    x = 339,646.77/549.80
  6. Step 6: Final answer
    x = 617.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.