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Finding the Fourth Proportional to 618.97, 923.45 and 596.56

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Solution

The fourth proportional to 618.97, 923.45 and 596.56 is: 890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.97 : 923.45 = 596.56 : x
  2. Step 2: Convert to fraction form
    618.97/923.45 = 596.56/x
  3. Step 3: Cross multiply
    618.97x = 923.45 × 596.56
  4. Step 4: Simplify right side
    618.97x = 550,893.33
  5. Step 5: Solve for x
    x = 550,893.33/618.97
  6. Step 6: Final answer
    x = 890.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.