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Finding the Fourth Proportional to 844.02, 1,162.89 and 820.94

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Solution

The fourth proportional to 844.02, 1,162.89 and 820.94 is: 1,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,162.89 = 820.94 : x
  2. Step 2: Convert to fraction form
    844.02/1,162.89 = 820.94/x
  3. Step 3: Cross multiply
    844.02x = 1,162.89 × 820.94
  4. Step 4: Simplify right side
    844.02x = 954,657.10
  5. Step 5: Solve for x
    x = 954,657.10/844.02
  6. Step 6: Final answer
    x = 1,131.08

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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.