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Finding the Fourth Proportional to 657.97, 986.96 and 399.63

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Solution

The fourth proportional to 657.97, 986.96 and 399.63 is: 599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.97 : 986.96 = 399.63 : x
  2. Step 2: Convert to fraction form
    657.97/986.96 = 399.63/x
  3. Step 3: Cross multiply
    657.97x = 986.96 × 399.63
  4. Step 4: Simplify right side
    657.97x = 394,422.40
  5. Step 5: Solve for x
    x = 394,422.40/657.97
  6. Step 6: Final answer
    x = 599.45

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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.