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Finding the Fourth Proportional to 800.08, 1,197.38 and 557.69

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Solution

The fourth proportional to 800.08, 1,197.38 and 557.69 is: 834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.08 : 1,197.38 = 557.69 : x
  2. Step 2: Convert to fraction form
    800.08/1,197.38 = 557.69/x
  3. Step 3: Cross multiply
    800.08x = 1,197.38 × 557.69
  4. Step 4: Simplify right side
    800.08x = 667,762.26
  5. Step 5: Solve for x
    x = 667,762.26/800.08
  6. Step 6: Final answer
    x = 834.62

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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.