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Finding the Fourth Proportional to 798.03, 1,198.22 and 491.16

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Solution

The fourth proportional to 798.03, 1,198.22 and 491.16 is: 737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.03 : 1,198.22 = 491.16 : x
  2. Step 2: Convert to fraction form
    798.03/1,198.22 = 491.16/x
  3. Step 3: Cross multiply
    798.03x = 1,198.22 × 491.16
  4. Step 4: Simplify right side
    798.03x = 588,521.15
  5. Step 5: Solve for x
    x = 588,521.15/798.03
  6. Step 6: Final answer
    x = 737.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.