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Finding the Fourth Proportional to 800.46, 1,199.43 and 618.30

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Solution

The fourth proportional to 800.46, 1,199.43 and 618.30 is: 926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.46 : 1,199.43 = 618.30 : x
  2. Step 2: Convert to fraction form
    800.46/1,199.43 = 618.30/x
  3. Step 3: Cross multiply
    800.46x = 1,199.43 × 618.30
  4. Step 4: Simplify right side
    800.46x = 741,607.57
  5. Step 5: Solve for x
    x = 741,607.57/800.46
  6. Step 6: Final answer
    x = 926.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.