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Finding the Fourth Proportional to 927.34, 1,390.78 and 310.88

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Solution

The fourth proportional to 927.34, 1,390.78 and 310.88 is: 466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.34 : 1,390.78 = 310.88 : x
  2. Step 2: Convert to fraction form
    927.34/1,390.78 = 310.88/x
  3. Step 3: Cross multiply
    927.34x = 1,390.78 × 310.88
  4. Step 4: Simplify right side
    927.34x = 432,369.55
  5. Step 5: Solve for x
    x = 432,369.55/927.34
  6. Step 6: Final answer
    x = 466.25

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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.