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Finding the Fourth Proportional to 798.90, 1,102.46 and 449.59

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Solution

The fourth proportional to 798.90, 1,102.46 and 449.59 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.90 : 1,102.46 = 449.59 : x
  2. Step 2: Convert to fraction form
    798.90/1,102.46 = 449.59/x
  3. Step 3: Cross multiply
    798.90x = 1,102.46 × 449.59
  4. Step 4: Simplify right side
    798.90x = 495,653.36
  5. Step 5: Solve for x
    x = 495,653.36/798.90
  6. Step 6: Final answer
    x = 620.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.