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Finding the Fourth Proportional to 797.12, 1,192.92 and 727.12

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Solution

The fourth proportional to 797.12, 1,192.92 and 727.12 is: 1,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.12 : 1,192.92 = 727.12 : x
  2. Step 2: Convert to fraction form
    797.12/1,192.92 = 727.12/x
  3. Step 3: Cross multiply
    797.12x = 1,192.92 × 727.12
  4. Step 4: Simplify right side
    797.12x = 867,395.99
  5. Step 5: Solve for x
    x = 867,395.99/797.12
  6. Step 6: Final answer
    x = 1,088.16

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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.