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Finding the Fourth Proportional to 663.84, 996.03 and 403.83

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Solution

The fourth proportional to 663.84, 996.03 and 403.83 is: 605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 996.03 = 403.83 : x
  2. Step 2: Convert to fraction form
    663.84/996.03 = 403.83/x
  3. Step 3: Cross multiply
    663.84x = 996.03 × 403.83
  4. Step 4: Simplify right side
    663.84x = 402,226.79
  5. Step 5: Solve for x
    x = 402,226.79/663.84
  6. Step 6: Final answer
    x = 605.91

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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.