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Finding the Fourth Proportional to 789.68, 1,091.40 and 700.40

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Solution

The fourth proportional to 789.68, 1,091.40 and 700.40 is: 968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.68 : 1,091.40 = 700.40 : x
  2. Step 2: Convert to fraction form
    789.68/1,091.40 = 700.40/x
  3. Step 3: Cross multiply
    789.68x = 1,091.40 × 700.40
  4. Step 4: Simplify right side
    789.68x = 764,416.56
  5. Step 5: Solve for x
    x = 764,416.56/789.68
  6. Step 6: Final answer
    x = 968.01

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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.