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Finding the Fourth Proportional to 754.78, 1,131.48 and 292.26

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Solution

The fourth proportional to 754.78, 1,131.48 and 292.26 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.78 : 1,131.48 = 292.26 : x
  2. Step 2: Convert to fraction form
    754.78/1,131.48 = 292.26/x
  3. Step 3: Cross multiply
    754.78x = 1,131.48 × 292.26
  4. Step 4: Simplify right side
    754.78x = 330,686.34
  5. Step 5: Solve for x
    x = 330,686.34/754.78
  6. Step 6: Final answer
    x = 438.12

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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.