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Finding the Fourth Proportional to 800.25, 1,199.76 and 389.07

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Solution

The fourth proportional to 800.25, 1,199.76 and 389.07 is: 583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.25 : 1,199.76 = 389.07 : x
  2. Step 2: Convert to fraction form
    800.25/1,199.76 = 389.07/x
  3. Step 3: Cross multiply
    800.25x = 1,199.76 × 389.07
  4. Step 4: Simplify right side
    800.25x = 466,790.62
  5. Step 5: Solve for x
    x = 466,790.62/800.25
  6. Step 6: Final answer
    x = 583.31

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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.