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Finding the Fourth Proportional to 475.82, 655.17 and 363.89

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Solution

The fourth proportional to 475.82, 655.17 and 363.89 is: 501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.82 : 655.17 = 363.89 : x
  2. Step 2: Convert to fraction form
    475.82/655.17 = 363.89/x
  3. Step 3: Cross multiply
    475.82x = 655.17 × 363.89
  4. Step 4: Simplify right side
    475.82x = 238,405.17
  5. Step 5: Solve for x
    x = 238,405.17/475.82
  6. Step 6: Final answer
    x = 501.04

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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.