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Finding the Fourth Proportional to 811.88, 1,119.12 and 713.46

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Solution

The fourth proportional to 811.88, 1,119.12 and 713.46 is: 983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,119.12 = 713.46 : x
  2. Step 2: Convert to fraction form
    811.88/1,119.12 = 713.46/x
  3. Step 3: Cross multiply
    811.88x = 1,119.12 × 713.46
  4. Step 4: Simplify right side
    811.88x = 798,447.36
  5. Step 5: Solve for x
    x = 798,447.36/811.88
  6. Step 6: Final answer
    x = 983.45

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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.