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Finding the Fourth Proportional to 844, 1,162.02 and 805

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Solution

The fourth proportional to 844, 1,162.02 and 805 is: 1,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    844 : 1,162.02 = 805 : x
  2. Step 2: Convert to fraction form
    844/1,162.02 = 805/x
  3. Step 3: Cross multiply
    844x = 1,162.02 × 805
  4. Step 4: Simplify right side
    844x = 935,426.10
  5. Step 5: Solve for x
    x = 935,426.10/844
  6. Step 6: Final answer
    x = 1,108.32

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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.