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Finding the Fourth Proportional to 663.77, 997.07 and 403.90

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Solution

The fourth proportional to 663.77, 997.07 and 403.90 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.77 : 997.07 = 403.90 : x
  2. Step 2: Convert to fraction form
    663.77/997.07 = 403.90/x
  3. Step 3: Cross multiply
    663.77x = 997.07 × 403.90
  4. Step 4: Simplify right side
    663.77x = 402,716.57
  5. Step 5: Solve for x
    x = 402,716.57/663.77
  6. Step 6: Final answer
    x = 606.71

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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.