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Finding the Fourth Proportional to 800.71, 1,104.94 and 446.62

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Solution

The fourth proportional to 800.71, 1,104.94 and 446.62 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.71 : 1,104.94 = 446.62 : x
  2. Step 2: Convert to fraction form
    800.71/1,104.94 = 446.62/x
  3. Step 3: Cross multiply
    800.71x = 1,104.94 × 446.62
  4. Step 4: Simplify right side
    800.71x = 493,488.30
  5. Step 5: Solve for x
    x = 493,488.30/800.71
  6. Step 6: Final answer
    x = 616.31

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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.