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Finding the Fourth Proportional to 642.85, 887.11 and 363.09

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Solution

The fourth proportional to 642.85, 887.11 and 363.09 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.85 : 887.11 = 363.09 : x
  2. Step 2: Convert to fraction form
    642.85/887.11 = 363.09/x
  3. Step 3: Cross multiply
    642.85x = 887.11 × 363.09
  4. Step 4: Simplify right side
    642.85x = 322,098.95
  5. Step 5: Solve for x
    x = 322,098.95/642.85
  6. Step 6: Final answer
    x = 501.05

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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.