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Finding the Fourth Proportional to 928.03, 1,391.99 and 311.74

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Solution

The fourth proportional to 928.03, 1,391.99 and 311.74 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.03 : 1,391.99 = 311.74 : x
  2. Step 2: Convert to fraction form
    928.03/1,391.99 = 311.74/x
  3. Step 3: Cross multiply
    928.03x = 1,391.99 × 311.74
  4. Step 4: Simplify right side
    928.03x = 433,932.00
  5. Step 5: Solve for x
    x = 433,932.00/928.03
  6. Step 6: Final answer
    x = 467.59

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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.