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Finding the Fourth Proportional to 755.89, 1,042.83 and 598.55

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Solution

The fourth proportional to 755.89, 1,042.83 and 598.55 is: 825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.89 : 1,042.83 = 598.55 : x
  2. Step 2: Convert to fraction form
    755.89/1,042.83 = 598.55/x
  3. Step 3: Cross multiply
    755.89x = 1,042.83 × 598.55
  4. Step 4: Simplify right side
    755.89x = 624,180.68
  5. Step 5: Solve for x
    x = 624,180.68/755.89
  6. Step 6: Final answer
    x = 825.76

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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.