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Finding the Fourth Proportional to 755.11, 1,130.82 and 462.75

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Solution

The fourth proportional to 755.11, 1,130.82 and 462.75 is: 692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.11 : 1,130.82 = 462.75 : x
  2. Step 2: Convert to fraction form
    755.11/1,130.82 = 462.75/x
  3. Step 3: Cross multiply
    755.11x = 1,130.82 × 462.75
  4. Step 4: Simplify right side
    755.11x = 523,286.96
  5. Step 5: Solve for x
    x = 523,286.96/755.11
  6. Step 6: Final answer
    x = 692.99

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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.