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Finding the Fourth Proportional to 785.43, 1,083.92 and 444.76

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Solution

The fourth proportional to 785.43, 1,083.92 and 444.76 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.43 : 1,083.92 = 444.76 : x
  2. Step 2: Convert to fraction form
    785.43/1,083.92 = 444.76/x
  3. Step 3: Cross multiply
    785.43x = 1,083.92 × 444.76
  4. Step 4: Simplify right side
    785.43x = 482,079.33
  5. Step 5: Solve for x
    x = 482,079.33/785.43
  6. Step 6: Final answer
    x = 613.78

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Double scale
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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.