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Finding the Fourth Proportional to 902.98, 1,355.39 and 609.56

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Solution

The fourth proportional to 902.98, 1,355.39 and 609.56 is: 914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.98 : 1,355.39 = 609.56 : x
  2. Step 2: Convert to fraction form
    902.98/1,355.39 = 609.56/x
  3. Step 3: Cross multiply
    902.98x = 1,355.39 × 609.56
  4. Step 4: Simplify right side
    902.98x = 826,191.53
  5. Step 5: Solve for x
    x = 826,191.53/902.98
  6. Step 6: Final answer
    x = 914.96

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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.