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Finding the Fourth Proportional to 619.47, 929.41 and 311.18

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Solution

The fourth proportional to 619.47, 929.41 and 311.18 is: 466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.47 : 929.41 = 311.18 : x
  2. Step 2: Convert to fraction form
    619.47/929.41 = 311.18/x
  3. Step 3: Cross multiply
    619.47x = 929.41 × 311.18
  4. Step 4: Simplify right side
    619.47x = 289,208.38
  5. Step 5: Solve for x
    x = 289,208.38/619.47
  6. Step 6: Final answer
    x = 466.86

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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.