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Finding the Fourth Proportional to 549.69, 757.25 and 424.58

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Solution

The fourth proportional to 549.69, 757.25 and 424.58 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.69 : 757.25 = 424.58 : x
  2. Step 2: Convert to fraction form
    549.69/757.25 = 424.58/x
  3. Step 3: Cross multiply
    549.69x = 757.25 × 424.58
  4. Step 4: Simplify right side
    549.69x = 321,508.89
  5. Step 5: Solve for x
    x = 321,508.89/549.69
  6. Step 6: Final answer
    x = 584.90

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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.