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Finding the Fourth Proportional to 799.49, 1,200.24 and 766.68

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Solution

The fourth proportional to 799.49, 1,200.24 and 766.68 is: 1,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.49 : 1,200.24 = 766.68 : x
  2. Step 2: Convert to fraction form
    799.49/1,200.24 = 766.68/x
  3. Step 3: Cross multiply
    799.49x = 1,200.24 × 766.68
  4. Step 4: Simplify right side
    799.49x = 920,200.00
  5. Step 5: Solve for x
    x = 920,200.00/799.49
  6. Step 6: Final answer
    x = 1,150.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.