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Finding the Fourth Proportional to 800.33, 1,104.43 and 446.24

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Solution

The fourth proportional to 800.33, 1,104.43 and 446.24 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,104.43 = 446.24 : x
  2. Step 2: Convert to fraction form
    800.33/1,104.43 = 446.24/x
  3. Step 3: Cross multiply
    800.33x = 1,104.43 × 446.24
  4. Step 4: Simplify right side
    800.33x = 492,838.61
  5. Step 5: Solve for x
    x = 492,838.61/800.33
  6. Step 6: Final answer
    x = 615.79

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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.