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Finding the Fourth Proportional to 764.99, 1,141.70 and 691.17

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Solution

The fourth proportional to 764.99, 1,141.70 and 691.17 is: 1,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.99 : 1,141.70 = 691.17 : x
  2. Step 2: Convert to fraction form
    764.99/1,141.70 = 691.17/x
  3. Step 3: Cross multiply
    764.99x = 1,141.70 × 691.17
  4. Step 4: Simplify right side
    764.99x = 789,105.33
  5. Step 5: Solve for x
    x = 789,105.33/764.99
  6. Step 6: Final answer
    x = 1,031.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.