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Finding the Fourth Proportional to 618.13, 923.78 and 495.82

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Solution

The fourth proportional to 618.13, 923.78 and 495.82 is: 740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.13 : 923.78 = 495.82 : x
  2. Step 2: Convert to fraction form
    618.13/923.78 = 495.82/x
  3. Step 3: Cross multiply
    618.13x = 923.78 × 495.82
  4. Step 4: Simplify right side
    618.13x = 458,021.50
  5. Step 5: Solve for x
    x = 458,021.50/618.13
  6. Step 6: Final answer
    x = 740.99

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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.