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Finding the Fourth Proportional to 796.96, 1,200.12 and 695.45

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Solution

The fourth proportional to 796.96, 1,200.12 and 695.45 is: 1,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.96 : 1,200.12 = 695.45 : x
  2. Step 2: Convert to fraction form
    796.96/1,200.12 = 695.45/x
  3. Step 3: Cross multiply
    796.96x = 1,200.12 × 695.45
  4. Step 4: Simplify right side
    796.96x = 834,619.98
  5. Step 5: Solve for x
    x = 834,619.98/796.96
  6. Step 6: Final answer
    x = 1,047.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.