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Finding the Fourth Proportional to 754.66, 1,131.63 and 292.66

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Solution

The fourth proportional to 754.66, 1,131.63 and 292.66 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.66 : 1,131.63 = 292.66 : x
  2. Step 2: Convert to fraction form
    754.66/1,131.63 = 292.66/x
  3. Step 3: Cross multiply
    754.66x = 1,131.63 × 292.66
  4. Step 4: Simplify right side
    754.66x = 331,182.84
  5. Step 5: Solve for x
    x = 331,182.84/754.66
  6. Step 6: Final answer
    x = 438.85

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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.