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Finding the Fourth Proportional to 902.75, 1,352.90 and 408.85

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Solution

The fourth proportional to 902.75, 1,352.90 and 408.85 is: 612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.75 : 1,352.90 = 408.85 : x
  2. Step 2: Convert to fraction form
    902.75/1,352.90 = 408.85/x
  3. Step 3: Cross multiply
    902.75x = 1,352.90 × 408.85
  4. Step 4: Simplify right side
    902.75x = 553,130.80
  5. Step 5: Solve for x
    x = 553,130.80/902.75
  6. Step 6: Final answer
    x = 612.72

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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.