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Finding the Fourth Proportional to 754.36, 1,131.72 and 407.69

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Solution

The fourth proportional to 754.36, 1,131.72 and 407.69 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,131.72 = 407.69 : x
  2. Step 2: Convert to fraction form
    754.36/1,131.72 = 407.69/x
  3. Step 3: Cross multiply
    754.36x = 1,131.72 × 407.69
  4. Step 4: Simplify right side
    754.36x = 461,390.93
  5. Step 5: Solve for x
    x = 461,390.93/754.36
  6. Step 6: Final answer
    x = 611.63

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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.