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Finding the Fourth Proportional to 921.92, 1,381.42 and 644

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Solution

The fourth proportional to 921.92, 1,381.42 and 644 is: 964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.92 : 1,381.42 = 644 : x
  2. Step 2: Convert to fraction form
    921.92/1,381.42 = 644/x
  3. Step 3: Cross multiply
    921.92x = 1,381.42 × 644
  4. Step 4: Simplify right side
    921.92x = 889,634.48
  5. Step 5: Solve for x
    x = 889,634.48/921.92
  6. Step 6: Final answer
    x = 964.98

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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.