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Finding the Fourth Proportional to 618.36, 926.46 and 387.78

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Solution

The fourth proportional to 618.36, 926.46 and 387.78 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.36 : 926.46 = 387.78 : x
  2. Step 2: Convert to fraction form
    618.36/926.46 = 387.78/x
  3. Step 3: Cross multiply
    618.36x = 926.46 × 387.78
  4. Step 4: Simplify right side
    618.36x = 359,262.66
  5. Step 5: Solve for x
    x = 359,262.66/618.36
  6. Step 6: Final answer
    x = 580.99

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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.