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Finding the Fourth Proportional to 928.87, 1,393.45 and 381.10

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Solution

The fourth proportional to 928.87, 1,393.45 and 381.10 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.87 : 1,393.45 = 381.10 : x
  2. Step 2: Convert to fraction form
    928.87/1,393.45 = 381.10/x
  3. Step 3: Cross multiply
    928.87x = 1,393.45 × 381.10
  4. Step 4: Simplify right side
    928.87x = 531,043.80
  5. Step 5: Solve for x
    x = 531,043.80/928.87
  6. Step 6: Final answer
    x = 571.71

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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.