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Finding the Fourth Proportional to 902.92, 1,346.99 and 861.64

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Solution

The fourth proportional to 902.92, 1,346.99 and 861.64 is: 1,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.92 : 1,346.99 = 861.64 : x
  2. Step 2: Convert to fraction form
    902.92/1,346.99 = 861.64/x
  3. Step 3: Cross multiply
    902.92x = 1,346.99 × 861.64
  4. Step 4: Simplify right side
    902.92x = 1,160,620.46
  5. Step 5: Solve for x
    x = 1,160,620.46/902.92
  6. Step 6: Final answer
    x = 1,285.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.