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Finding the Fourth Proportional to 717.80, 969.75 and 717.80

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Solution

The fourth proportional to 717.80, 969.75 and 717.80 is: 969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.80 : 969.75 = 717.80 : x
  2. Step 2: Convert to fraction form
    717.80/969.75 = 717.80/x
  3. Step 3: Cross multiply
    717.80x = 969.75 × 717.80
  4. Step 4: Simplify right side
    717.80x = 696,086.55
  5. Step 5: Solve for x
    x = 696,086.55/717.80
  6. Step 6: Final answer
    x = 969.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.