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Finding the Fourth Proportional to 729.24, 1,091.97 and 612.90

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Solution

The fourth proportional to 729.24, 1,091.97 and 612.90 is: 917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.24 : 1,091.97 = 612.90 : x
  2. Step 2: Convert to fraction form
    729.24/1,091.97 = 612.90/x
  3. Step 3: Cross multiply
    729.24x = 1,091.97 × 612.90
  4. Step 4: Simplify right side
    729.24x = 669,268.41
  5. Step 5: Solve for x
    x = 669,268.41/729.24
  6. Step 6: Final answer
    x = 917.76

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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.