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Finding the Fourth Proportional to 798.20, 1,196.48 and 578.29

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Solution

The fourth proportional to 798.20, 1,196.48 and 578.29 is: 866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.20 : 1,196.48 = 578.29 : x
  2. Step 2: Convert to fraction form
    798.20/1,196.48 = 578.29/x
  3. Step 3: Cross multiply
    798.20x = 1,196.48 × 578.29
  4. Step 4: Simplify right side
    798.20x = 691,903.55
  5. Step 5: Solve for x
    x = 691,903.55/798.20
  6. Step 6: Final answer
    x = 866.83

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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.