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Finding the Fourth Proportional to 791.67, 1,093.50 and 698.76

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Solution

The fourth proportional to 791.67, 1,093.50 and 698.76 is: 965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.67 : 1,093.50 = 698.76 : x
  2. Step 2: Convert to fraction form
    791.67/1,093.50 = 698.76/x
  3. Step 3: Cross multiply
    791.67x = 1,093.50 × 698.76
  4. Step 4: Simplify right side
    791.67x = 764,094.06
  5. Step 5: Solve for x
    x = 764,094.06/791.67
  6. Step 6: Final answer
    x = 965.17

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Double scale
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1.5x scale

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.