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Finding the Fourth Proportional to 921.43, 1,381.20 and 304.57

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Solution

The fourth proportional to 921.43, 1,381.20 and 304.57 is: 456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.43 : 1,381.20 = 304.57 : x
  2. Step 2: Convert to fraction form
    921.43/1,381.20 = 304.57/x
  3. Step 3: Cross multiply
    921.43x = 1,381.20 × 304.57
  4. Step 4: Simplify right side
    921.43x = 420,672.08
  5. Step 5: Solve for x
    x = 420,672.08/921.43
  6. Step 6: Final answer
    x = 456.54

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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.