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Finding the Fourth Proportional to 496.90, 686.18 and 399.37

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Solution

The fourth proportional to 496.90, 686.18 and 399.37 is: 551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.90 : 686.18 = 399.37 : x
  2. Step 2: Convert to fraction form
    496.90/686.18 = 399.37/x
  3. Step 3: Cross multiply
    496.90x = 686.18 × 399.37
  4. Step 4: Simplify right side
    496.90x = 274,039.71
  5. Step 5: Solve for x
    x = 274,039.71/496.90
  6. Step 6: Final answer
    x = 551.50

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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.