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Finding the Fourth Proportional to 754.40, 1,133.42 and 481.02

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Solution

The fourth proportional to 754.40, 1,133.42 and 481.02 is: 722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,133.42 = 481.02 : x
  2. Step 2: Convert to fraction form
    754.40/1,133.42 = 481.02/x
  3. Step 3: Cross multiply
    754.40x = 1,133.42 × 481.02
  4. Step 4: Simplify right side
    754.40x = 545,197.69
  5. Step 5: Solve for x
    x = 545,197.69/754.40
  6. Step 6: Final answer
    x = 722.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.