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Finding the Fourth Proportional to 619.32, 927.72 and 293.70

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Solution

The fourth proportional to 619.32, 927.72 and 293.70 is: 439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.32 : 927.72 = 293.70 : x
  2. Step 2: Convert to fraction form
    619.32/927.72 = 293.70/x
  3. Step 3: Cross multiply
    619.32x = 927.72 × 293.70
  4. Step 4: Simplify right side
    619.32x = 272,471.36
  5. Step 5: Solve for x
    x = 272,471.36/619.32
  6. Step 6: Final answer
    x = 439.95

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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.