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Finding the Fourth Proportional to 498.89, 688.42 and 289.03

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Solution

The fourth proportional to 498.89, 688.42 and 289.03 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.89 : 688.42 = 289.03 : x
  2. Step 2: Convert to fraction form
    498.89/688.42 = 289.03/x
  3. Step 3: Cross multiply
    498.89x = 688.42 × 289.03
  4. Step 4: Simplify right side
    498.89x = 198,974.03
  5. Step 5: Solve for x
    x = 198,974.03/498.89
  6. Step 6: Final answer
    x = 398.83

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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.