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Finding the Fourth Proportional to 800.97, 1,105.14 and 451.65

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Solution

The fourth proportional to 800.97, 1,105.14 and 451.65 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.97 : 1,105.14 = 451.65 : x
  2. Step 2: Convert to fraction form
    800.97/1,105.14 = 451.65/x
  3. Step 3: Cross multiply
    800.97x = 1,105.14 × 451.65
  4. Step 4: Simplify right side
    800.97x = 499,136.48
  5. Step 5: Solve for x
    x = 499,136.48/800.97
  6. Step 6: Final answer
    x = 623.17

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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.