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Finding the Fourth Proportional to 902.33, 1,350.85 and 815.86

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Solution

The fourth proportional to 902.33, 1,350.85 and 815.86 is: 1,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.33 : 1,350.85 = 815.86 : x
  2. Step 2: Convert to fraction form
    902.33/1,350.85 = 815.86/x
  3. Step 3: Cross multiply
    902.33x = 1,350.85 × 815.86
  4. Step 4: Simplify right side
    902.33x = 1,102,093.65
  5. Step 5: Solve for x
    x = 1,102,093.65/902.33
  6. Step 6: Final answer
    x = 1,221.39

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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.