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Finding the Fourth Proportional to 755.01, 1,131.66 and 365.22

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Solution

The fourth proportional to 755.01, 1,131.66 and 365.22 is: 547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.01 : 1,131.66 = 365.22 : x
  2. Step 2: Convert to fraction form
    755.01/1,131.66 = 365.22/x
  3. Step 3: Cross multiply
    755.01x = 1,131.66 × 365.22
  4. Step 4: Simplify right side
    755.01x = 413,304.87
  5. Step 5: Solve for x
    x = 413,304.87/755.01
  6. Step 6: Final answer
    x = 547.42

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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.