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Finding the Fourth Proportional to 754.81, 1,136.39 and 690.23

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Solution

The fourth proportional to 754.81, 1,136.39 and 690.23 is: 1,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.81 : 1,136.39 = 690.23 : x
  2. Step 2: Convert to fraction form
    754.81/1,136.39 = 690.23/x
  3. Step 3: Cross multiply
    754.81x = 1,136.39 × 690.23
  4. Step 4: Simplify right side
    754.81x = 784,375.04
  5. Step 5: Solve for x
    x = 784,375.04/754.81
  6. Step 6: Final answer
    x = 1,039.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.