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Finding the Fourth Proportional to 800.28, 1,199.96 and 388.91

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Solution

The fourth proportional to 800.28, 1,199.96 and 388.91 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.28 : 1,199.96 = 388.91 : x
  2. Step 2: Convert to fraction form
    800.28/1,199.96 = 388.91/x
  3. Step 3: Cross multiply
    800.28x = 1,199.96 × 388.91
  4. Step 4: Simplify right side
    800.28x = 466,668.50
  5. Step 5: Solve for x
    x = 466,668.50/800.28
  6. Step 6: Final answer
    x = 583.13

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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.