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Finding the Fourth Proportional to 927.11, 1,390.36 and 310.65

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Solution

The fourth proportional to 927.11, 1,390.36 and 310.65 is: 465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.11 : 1,390.36 = 310.65 : x
  2. Step 2: Convert to fraction form
    927.11/1,390.36 = 310.65/x
  3. Step 3: Cross multiply
    927.11x = 1,390.36 × 310.65
  4. Step 4: Simplify right side
    927.11x = 431,915.33
  5. Step 5: Solve for x
    x = 431,915.33/927.11
  6. Step 6: Final answer
    x = 465.87

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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.