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Finding the Fourth Proportional to 880.52, 1,317.42 and 798.44

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Solution

The fourth proportional to 880.52, 1,317.42 and 798.44 is: 1,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.52 : 1,317.42 = 798.44 : x
  2. Step 2: Convert to fraction form
    880.52/1,317.42 = 798.44/x
  3. Step 3: Cross multiply
    880.52x = 1,317.42 × 798.44
  4. Step 4: Simplify right side
    880.52x = 1,051,880.82
  5. Step 5: Solve for x
    x = 1,051,880.82/880.52
  6. Step 6: Final answer
    x = 1,194.61

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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.