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Finding the Fourth Proportional to 618.48, 927.78 and 289.38

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Solution

The fourth proportional to 618.48, 927.78 and 289.38 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 927.78 = 289.38 : x
  2. Step 2: Convert to fraction form
    618.48/927.78 = 289.38/x
  3. Step 3: Cross multiply
    618.48x = 927.78 × 289.38
  4. Step 4: Simplify right side
    618.48x = 268,480.98
  5. Step 5: Solve for x
    x = 268,480.98/618.48
  6. Step 6: Final answer
    x = 434.10

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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.