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Finding the Fourth Proportional to 754.75, 1,133.03 and 461.33

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Solution

The fourth proportional to 754.75, 1,133.03 and 461.33 is: 692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.75 : 1,133.03 = 461.33 : x
  2. Step 2: Convert to fraction form
    754.75/1,133.03 = 461.33/x
  3. Step 3: Cross multiply
    754.75x = 1,133.03 × 461.33
  4. Step 4: Simplify right side
    754.75x = 522,695.06
  5. Step 5: Solve for x
    x = 522,695.06/754.75
  6. Step 6: Final answer
    x = 692.55

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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.