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Finding the Fourth Proportional to 801.08, 1,198.88 and 558.69

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Solution

The fourth proportional to 801.08, 1,198.88 and 558.69 is: 836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.08 : 1,198.88 = 558.69 : x
  2. Step 2: Convert to fraction form
    801.08/1,198.88 = 558.69/x
  3. Step 3: Cross multiply
    801.08x = 1,198.88 × 558.69
  4. Step 4: Simplify right side
    801.08x = 669,802.27
  5. Step 5: Solve for x
    x = 669,802.27/801.08
  6. Step 6: Final answer
    x = 836.12

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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.