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Finding the Fourth Proportional to 618.74, 927.97 and 289.91

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Solution

The fourth proportional to 618.74, 927.97 and 289.91 is: 434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 927.97 = 289.91 : x
  2. Step 2: Convert to fraction form
    618.74/927.97 = 289.91/x
  3. Step 3: Cross multiply
    618.74x = 927.97 × 289.91
  4. Step 4: Simplify right side
    618.74x = 269,024.74
  5. Step 5: Solve for x
    x = 269,024.74/618.74
  6. Step 6: Final answer
    x = 434.79

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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.