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Finding the Fourth Proportional to 843.09, 1,262.61 and 598.47

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Solution

The fourth proportional to 843.09, 1,262.61 and 598.47 is: 896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.09 : 1,262.61 = 598.47 : x
  2. Step 2: Convert to fraction form
    843.09/1,262.61 = 598.47/x
  3. Step 3: Cross multiply
    843.09x = 1,262.61 × 598.47
  4. Step 4: Simplify right side
    843.09x = 755,634.21
  5. Step 5: Solve for x
    x = 755,634.21/843.09
  6. Step 6: Final answer
    x = 896.27

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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.