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Finding the Fourth Proportional to 866.50, 1,194.65 and 708.55

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Solution

The fourth proportional to 866.50, 1,194.65 and 708.55 is: 976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.50 : 1,194.65 = 708.55 : x
  2. Step 2: Convert to fraction form
    866.50/1,194.65 = 708.55/x
  3. Step 3: Cross multiply
    866.50x = 1,194.65 × 708.55
  4. Step 4: Simplify right side
    866.50x = 846,465.39
  5. Step 5: Solve for x
    x = 846,465.39/866.50
  6. Step 6: Final answer
    x = 976.88

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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.