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Finding the Fourth Proportional to 800.69, 1,199.21 and 557.39

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Solution

The fourth proportional to 800.69, 1,199.21 and 557.39 is: 834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,199.21 = 557.39 : x
  2. Step 2: Convert to fraction form
    800.69/1,199.21 = 557.39/x
  3. Step 3: Cross multiply
    800.69x = 1,199.21 × 557.39
  4. Step 4: Simplify right side
    800.69x = 668,427.87
  5. Step 5: Solve for x
    x = 668,427.87/800.69
  6. Step 6: Final answer
    x = 834.82

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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.