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Finding the Fourth Proportional to 755.31, 1,131.43 and 462.12

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Solution

The fourth proportional to 755.31, 1,131.43 and 462.12 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.31 : 1,131.43 = 462.12 : x
  2. Step 2: Convert to fraction form
    755.31/1,131.43 = 462.12/x
  3. Step 3: Cross multiply
    755.31x = 1,131.43 × 462.12
  4. Step 4: Simplify right side
    755.31x = 522,854.14
  5. Step 5: Solve for x
    x = 522,854.14/755.31
  6. Step 6: Final answer
    x = 692.24

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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.