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Finding the Fourth Proportional to 927.89, 1,392.02 and 380.12

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Solution

The fourth proportional to 927.89, 1,392.02 and 380.12 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.89 : 1,392.02 = 380.12 : x
  2. Step 2: Convert to fraction form
    927.89/1,392.02 = 380.12/x
  3. Step 3: Cross multiply
    927.89x = 1,392.02 × 380.12
  4. Step 4: Simplify right side
    927.89x = 529,134.64
  5. Step 5: Solve for x
    x = 529,134.64/927.89
  6. Step 6: Final answer
    x = 570.26

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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.