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Finding the Fourth Proportional to 737.51, 1,100.79 and 725.36

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Solution

The fourth proportional to 737.51, 1,100.79 and 725.36 is: 1,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.51 : 1,100.79 = 725.36 : x
  2. Step 2: Convert to fraction form
    737.51/1,100.79 = 725.36/x
  3. Step 3: Cross multiply
    737.51x = 1,100.79 × 725.36
  4. Step 4: Simplify right side
    737.51x = 798,463.53
  5. Step 5: Solve for x
    x = 798,463.53/737.51
  6. Step 6: Final answer
    x = 1,082.66

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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.