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Finding the Fourth Proportional to 619.34, 927.62 and 423.87

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Solution

The fourth proportional to 619.34, 927.62 and 423.87 is: 634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.34 : 927.62 = 423.87 : x
  2. Step 2: Convert to fraction form
    619.34/927.62 = 423.87/x
  3. Step 3: Cross multiply
    619.34x = 927.62 × 423.87
  4. Step 4: Simplify right side
    619.34x = 393,188.17
  5. Step 5: Solve for x
    x = 393,188.17/619.34
  6. Step 6: Final answer
    x = 634.86

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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.