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Finding the Fourth Proportional to 800.46, 1,104.72 and 446.38

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Solution

The fourth proportional to 800.46, 1,104.72 and 446.38 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.46 : 1,104.72 = 446.38 : x
  2. Step 2: Convert to fraction form
    800.46/1,104.72 = 446.38/x
  3. Step 3: Cross multiply
    800.46x = 1,104.72 × 446.38
  4. Step 4: Simplify right side
    800.46x = 493,122.68
  5. Step 5: Solve for x
    x = 493,122.68/800.46
  6. Step 6: Final answer
    x = 616.05

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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.