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Finding the Fourth Proportional to 921.70, 1,381.99 and 344.26

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Solution

The fourth proportional to 921.70, 1,381.99 and 344.26 is: 516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.70 : 1,381.99 = 344.26 : x
  2. Step 2: Convert to fraction form
    921.70/1,381.99 = 344.26/x
  3. Step 3: Cross multiply
    921.70x = 1,381.99 × 344.26
  4. Step 4: Simplify right side
    921.70x = 475,763.88
  5. Step 5: Solve for x
    x = 475,763.88/921.70
  6. Step 6: Final answer
    x = 516.18

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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.