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Finding the Fourth Proportional to 618.09, 923.30 and 496.59

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Solution

The fourth proportional to 618.09, 923.30 and 496.59 is: 741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.09 : 923.30 = 496.59 : x
  2. Step 2: Convert to fraction form
    618.09/923.30 = 496.59/x
  3. Step 3: Cross multiply
    618.09x = 923.30 × 496.59
  4. Step 4: Simplify right side
    618.09x = 458,499.06
  5. Step 5: Solve for x
    x = 458,499.06/618.09
  6. Step 6: Final answer
    x = 741.80

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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.