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Finding the Fourth Proportional to 754.14, 1,039.32 and 557.58

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Solution

The fourth proportional to 754.14, 1,039.32 and 557.58 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.14 : 1,039.32 = 557.58 : x
  2. Step 2: Convert to fraction form
    754.14/1,039.32 = 557.58/x
  3. Step 3: Cross multiply
    754.14x = 1,039.32 × 557.58
  4. Step 4: Simplify right side
    754.14x = 579,504.05
  5. Step 5: Solve for x
    x = 579,504.05/754.14
  6. Step 6: Final answer
    x = 768.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.