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Finding the Fourth Proportional to 549.84, 757.62 and 418.62

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Solution

The fourth proportional to 549.84, 757.62 and 418.62 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 757.62 = 418.62 : x
  2. Step 2: Convert to fraction form
    549.84/757.62 = 418.62/x
  3. Step 3: Cross multiply
    549.84x = 757.62 × 418.62
  4. Step 4: Simplify right side
    549.84x = 317,154.88
  5. Step 5: Solve for x
    x = 317,154.88/549.84
  6. Step 6: Final answer
    x = 576.81

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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.