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Finding the Fourth Proportional to 609.38, 842.07 and 498.81

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Solution

The fourth proportional to 609.38, 842.07 and 498.81 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 842.07 = 498.81 : x
  2. Step 2: Convert to fraction form
    609.38/842.07 = 498.81/x
  3. Step 3: Cross multiply
    609.38x = 842.07 × 498.81
  4. Step 4: Simplify right side
    609.38x = 420,032.94
  5. Step 5: Solve for x
    x = 420,032.94/609.38
  6. Step 6: Final answer
    x = 689.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.