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Finding the Fourth Proportional to 729.33, 999.92 and 716.19

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Solution

The fourth proportional to 729.33, 999.92 and 716.19 is: 981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.33 : 999.92 = 716.19 : x
  2. Step 2: Convert to fraction form
    729.33/999.92 = 716.19/x
  3. Step 3: Cross multiply
    729.33x = 999.92 × 716.19
  4. Step 4: Simplify right side
    729.33x = 716,129.12
  5. Step 5: Solve for x
    x = 716,129.12/729.33
  6. Step 6: Final answer
    x = 981.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.