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Finding the Fourth Proportional to 796.70, 1,188.65 and 708.98

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Solution

The fourth proportional to 796.70, 1,188.65 and 708.98 is: 1,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.70 : 1,188.65 = 708.98 : x
  2. Step 2: Convert to fraction form
    796.70/1,188.65 = 708.98/x
  3. Step 3: Cross multiply
    796.70x = 1,188.65 × 708.98
  4. Step 4: Simplify right side
    796.70x = 842,725.53
  5. Step 5: Solve for x
    x = 842,725.53/796.70
  6. Step 6: Final answer
    x = 1,057.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.