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Finding the Fourth Proportional to 716.85, 993.09 and 699.84

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Solution

The fourth proportional to 716.85, 993.09 and 699.84 is: 969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.85 : 993.09 = 699.84 : x
  2. Step 2: Convert to fraction form
    716.85/993.09 = 699.84/x
  3. Step 3: Cross multiply
    716.85x = 993.09 × 699.84
  4. Step 4: Simplify right side
    716.85x = 695,004.11
  5. Step 5: Solve for x
    x = 695,004.11/716.85
  6. Step 6: Final answer
    x = 969.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.