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Finding the Fourth Proportional to 812.36, 1,120.64 and 719.12

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Solution

The fourth proportional to 812.36, 1,120.64 and 719.12 is: 992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.36 : 1,120.64 = 719.12 : x
  2. Step 2: Convert to fraction form
    812.36/1,120.64 = 719.12/x
  3. Step 3: Cross multiply
    812.36x = 1,120.64 × 719.12
  4. Step 4: Simplify right side
    812.36x = 805,873.84
  5. Step 5: Solve for x
    x = 805,873.84/812.36
  6. Step 6: Final answer
    x = 992.01

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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.