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Finding the Fourth Proportional to 927.78, 1,280.49 and 534.73

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Solution

The fourth proportional to 927.78, 1,280.49 and 534.73 is: 738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.78 : 1,280.49 = 534.73 : x
  2. Step 2: Convert to fraction form
    927.78/1,280.49 = 534.73/x
  3. Step 3: Cross multiply
    927.78x = 1,280.49 × 534.73
  4. Step 4: Simplify right side
    927.78x = 684,716.42
  5. Step 5: Solve for x
    x = 684,716.42/927.78
  6. Step 6: Final answer
    x = 738.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.