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Finding the Fourth Proportional to 500.67, 689.99 and 389.97

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Solution

The fourth proportional to 500.67, 689.99 and 389.97 is: 537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 689.99 = 389.97 : x
  2. Step 2: Convert to fraction form
    500.67/689.99 = 389.97/x
  3. Step 3: Cross multiply
    500.67x = 689.99 × 389.97
  4. Step 4: Simplify right side
    500.67x = 269,073.45
  5. Step 5: Solve for x
    x = 269,073.45/500.67
  6. Step 6: Final answer
    x = 537.43

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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.