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Finding the Fourth Proportional to 796.50, 1,099.20 and 564.12

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Solution

The fourth proportional to 796.50, 1,099.20 and 564.12 is: 778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,099.20 = 564.12 : x
  2. Step 2: Convert to fraction form
    796.50/1,099.20 = 564.12/x
  3. Step 3: Cross multiply
    796.50x = 1,099.20 × 564.12
  4. Step 4: Simplify right side
    796.50x = 620,080.70
  5. Step 5: Solve for x
    x = 620,080.70/796.50
  6. Step 6: Final answer
    x = 778.51

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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.