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Finding the Fourth Proportional to 902.38, 1,354.05 and 389.42

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Solution

The fourth proportional to 902.38, 1,354.05 and 389.42 is: 584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.38 : 1,354.05 = 389.42 : x
  2. Step 2: Convert to fraction form
    902.38/1,354.05 = 389.42/x
  3. Step 3: Cross multiply
    902.38x = 1,354.05 × 389.42
  4. Step 4: Simplify right side
    902.38x = 527,294.15
  5. Step 5: Solve for x
    x = 527,294.15/902.38
  6. Step 6: Final answer
    x = 584.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.