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Finding the Fourth Proportional to 927.75, 1,392.03 and 683.13

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Solution

The fourth proportional to 927.75, 1,392.03 and 683.13 is: 1,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,392.03 = 683.13 : x
  2. Step 2: Convert to fraction form
    927.75/1,392.03 = 683.13/x
  3. Step 3: Cross multiply
    927.75x = 1,392.03 × 683.13
  4. Step 4: Simplify right side
    927.75x = 950,937.45
  5. Step 5: Solve for x
    x = 950,937.45/927.75
  6. Step 6: Final answer
    x = 1,024.99

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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.