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Finding the Fourth Proportional to 619.38, 929.43 and 311.22

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Solution

The fourth proportional to 619.38, 929.43 and 311.22 is: 467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.38 : 929.43 = 311.22 : x
  2. Step 2: Convert to fraction form
    619.38/929.43 = 311.22/x
  3. Step 3: Cross multiply
    619.38x = 929.43 × 311.22
  4. Step 4: Simplify right side
    619.38x = 289,257.20
  5. Step 5: Solve for x
    x = 289,257.20/619.38
  6. Step 6: Final answer
    x = 467.01

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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.