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Finding the Fourth Proportional to 618.34, 923.69 and 496.84

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Solution

The fourth proportional to 618.34, 923.69 and 496.84 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.34 : 923.69 = 496.84 : x
  2. Step 2: Convert to fraction form
    618.34/923.69 = 496.84/x
  3. Step 3: Cross multiply
    618.34x = 923.69 × 496.84
  4. Step 4: Simplify right side
    618.34x = 458,926.14
  5. Step 5: Solve for x
    x = 458,926.14/618.34
  6. Step 6: Final answer
    x = 742.19

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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.