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Finding the Fourth Proportional to 902.96, 1,352.28 and 684.80

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Solution

The fourth proportional to 902.96, 1,352.28 and 684.80 is: 1,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.96 : 1,352.28 = 684.80 : x
  2. Step 2: Convert to fraction form
    902.96/1,352.28 = 684.80/x
  3. Step 3: Cross multiply
    902.96x = 1,352.28 × 684.80
  4. Step 4: Simplify right side
    902.96x = 926,041.34
  5. Step 5: Solve for x
    x = 926,041.34/902.96
  6. Step 6: Final answer
    x = 1,025.56

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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.