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Finding the Fourth Proportional to 927.46, 1,398.42 and 850.90

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Solution

The fourth proportional to 927.46, 1,398.42 and 850.90 is: 1,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.46 : 1,398.42 = 850.90 : x
  2. Step 2: Convert to fraction form
    927.46/1,398.42 = 850.90/x
  3. Step 3: Cross multiply
    927.46x = 1,398.42 × 850.90
  4. Step 4: Simplify right side
    927.46x = 1,189,915.58
  5. Step 5: Solve for x
    x = 1,189,915.58/927.46
  6. Step 6: Final answer
    x = 1,282.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.