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Finding the Fourth Proportional to 722.50, 1,081.92 and 662.33

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Solution

The fourth proportional to 722.50, 1,081.92 and 662.33 is: 991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.50 : 1,081.92 = 662.33 : x
  2. Step 2: Convert to fraction form
    722.50/1,081.92 = 662.33/x
  3. Step 3: Cross multiply
    722.50x = 1,081.92 × 662.33
  4. Step 4: Simplify right side
    722.50x = 716,588.07
  5. Step 5: Solve for x
    x = 716,588.07/722.50
  6. Step 6: Final answer
    x = 991.82

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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.