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Finding the Fourth Proportional to 418.43, 624.65 and 363.76

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Solution

The fourth proportional to 418.43, 624.65 and 363.76 is: 543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.43 : 624.65 = 363.76 : x
  2. Step 2: Convert to fraction form
    418.43/624.65 = 363.76/x
  3. Step 3: Cross multiply
    418.43x = 624.65 × 363.76
  4. Step 4: Simplify right side
    418.43x = 227,219.30
  5. Step 5: Solve for x
    x = 227,219.30/418.43
  6. Step 6: Final answer
    x = 543.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.