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Finding the Fourth Proportional to 844.48, 1,162.91 and 720.09

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Solution

The fourth proportional to 844.48, 1,162.91 and 720.09 is: 991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.48 : 1,162.91 = 720.09 : x
  2. Step 2: Convert to fraction form
    844.48/1,162.91 = 720.09/x
  3. Step 3: Cross multiply
    844.48x = 1,162.91 × 720.09
  4. Step 4: Simplify right side
    844.48x = 837,397.61
  5. Step 5: Solve for x
    x = 837,397.61/844.48
  6. Step 6: Final answer
    x = 991.62

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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.