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Finding the Fourth Proportional to 927.03, 1,388.94 and 614.48

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Solution

The fourth proportional to 927.03, 1,388.94 and 614.48 is: 920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.03 : 1,388.94 = 614.48 : x
  2. Step 2: Convert to fraction form
    927.03/1,388.94 = 614.48/x
  3. Step 3: Cross multiply
    927.03x = 1,388.94 × 614.48
  4. Step 4: Simplify right side
    927.03x = 853,475.85
  5. Step 5: Solve for x
    x = 853,475.85/927.03
  6. Step 6: Final answer
    x = 920.66

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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.