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Finding the Fourth Proportional to 796.12, 1,098.75 and 575.80

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Solution

The fourth proportional to 796.12, 1,098.75 and 575.80 is: 794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.12 : 1,098.75 = 575.80 : x
  2. Step 2: Convert to fraction form
    796.12/1,098.75 = 575.80/x
  3. Step 3: Cross multiply
    796.12x = 1,098.75 × 575.80
  4. Step 4: Simplify right side
    796.12x = 632,660.25
  5. Step 5: Solve for x
    x = 632,660.25/796.12
  6. Step 6: Final answer
    x = 794.68

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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.