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Finding the Fourth Proportional to 754.74, 1,042.12 and 608.06

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Solution

The fourth proportional to 754.74, 1,042.12 and 608.06 is: 839.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.74 : 1,042.12 = 608.06 : x
  2. Step 2: Convert to fraction form
    754.74/1,042.12 = 608.06/x
  3. Step 3: Cross multiply
    754.74x = 1,042.12 × 608.06
  4. Step 4: Simplify right side
    754.74x = 633,671.49
  5. Step 5: Solve for x
    x = 633,671.49/754.74
  6. Step 6: Final answer
    x = 839.59

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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.