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Finding the Fourth Proportional to 800.31, 1,199.29 and 388.98

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Solution

The fourth proportional to 800.31, 1,199.29 and 388.98 is: 582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.31 : 1,199.29 = 388.98 : x
  2. Step 2: Convert to fraction form
    800.31/1,199.29 = 388.98/x
  3. Step 3: Cross multiply
    800.31x = 1,199.29 × 388.98
  4. Step 4: Simplify right side
    800.31x = 466,499.82
  5. Step 5: Solve for x
    x = 466,499.82/800.31
  6. Step 6: Final answer
    x = 582.90

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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.