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Finding the Fourth Proportional to 800.38, 1,104.33 and 446.21

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Solution

The fourth proportional to 800.38, 1,104.33 and 446.21 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.38 : 1,104.33 = 446.21 : x
  2. Step 2: Convert to fraction form
    800.38/1,104.33 = 446.21/x
  3. Step 3: Cross multiply
    800.38x = 1,104.33 × 446.21
  4. Step 4: Simplify right side
    800.38x = 492,763.38
  5. Step 5: Solve for x
    x = 492,763.38/800.38
  6. Step 6: Final answer
    x = 615.66

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1.5x scale

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.