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Finding the Fourth Proportional to 921.98, 1,375.42 and 896.88

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Solution

The fourth proportional to 921.98, 1,375.42 and 896.88 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.98 : 1,375.42 = 896.88 : x
  2. Step 2: Convert to fraction form
    921.98/1,375.42 = 896.88/x
  3. Step 3: Cross multiply
    921.98x = 1,375.42 × 896.88
  4. Step 4: Simplify right side
    921.98x = 1,233,586.69
  5. Step 5: Solve for x
    x = 1,233,586.69/921.98
  6. Step 6: Final answer
    x = 1,337.98

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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.