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Finding the Fourth Proportional to 798.74, 1,101.94 and 488.42

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Solution

The fourth proportional to 798.74, 1,101.94 and 488.42 is: 673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.74 : 1,101.94 = 488.42 : x
  2. Step 2: Convert to fraction form
    798.74/1,101.94 = 488.42/x
  3. Step 3: Cross multiply
    798.74x = 1,101.94 × 488.42
  4. Step 4: Simplify right side
    798.74x = 538,202.80
  5. Step 5: Solve for x
    x = 538,202.80/798.74
  6. Step 6: Final answer
    x = 673.82

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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.