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Finding the Fourth Proportional to 843.31, 1,162.98 and 578.13

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Solution

The fourth proportional to 843.31, 1,162.98 and 578.13 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.31 : 1,162.98 = 578.13 : x
  2. Step 2: Convert to fraction form
    843.31/1,162.98 = 578.13/x
  3. Step 3: Cross multiply
    843.31x = 1,162.98 × 578.13
  4. Step 4: Simplify right side
    843.31x = 672,353.63
  5. Step 5: Solve for x
    x = 672,353.63/843.31
  6. Step 6: Final answer
    x = 797.28

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