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Finding the Fourth Proportional to 997.77, 1,496.76 and 381.99

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Solution

The fourth proportional to 997.77, 1,496.76 and 381.99 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.77 : 1,496.76 = 381.99 : x
  2. Step 2: Convert to fraction form
    997.77/1,496.76 = 381.99/x
  3. Step 3: Cross multiply
    997.77x = 1,496.76 × 381.99
  4. Step 4: Simplify right side
    997.77x = 571,752.97
  5. Step 5: Solve for x
    x = 571,752.97/997.77
  6. Step 6: Final answer
    x = 573.03

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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.