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Finding the Fourth Proportional to 997.66, 1,497.15 and 381.88

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Solution

The fourth proportional to 997.66, 1,497.15 and 381.88 is: 573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.66 : 1,497.15 = 381.88 : x
  2. Step 2: Convert to fraction form
    997.66/1,497.15 = 381.88/x
  3. Step 3: Cross multiply
    997.66x = 1,497.15 × 381.88
  4. Step 4: Simplify right side
    997.66x = 571,731.64
  5. Step 5: Solve for x
    x = 571,731.64/997.66
  6. Step 6: Final answer
    x = 573.07

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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.