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Finding the Fourth Proportional to 618.62, 928.38 and 498.33

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Solution

The fourth proportional to 618.62, 928.38 and 498.33 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.62 : 928.38 = 498.33 : x
  2. Step 2: Convert to fraction form
    618.62/928.38 = 498.33/x
  3. Step 3: Cross multiply
    618.62x = 928.38 × 498.33
  4. Step 4: Simplify right side
    618.62x = 462,640.68
  5. Step 5: Solve for x
    x = 462,640.68/618.62
  6. Step 6: Final answer
    x = 747.86

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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.