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Finding the Fourth Proportional to 798.87, 1,098.17 and 713.96

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Solution

The fourth proportional to 798.87, 1,098.17 and 713.96 is: 981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,098.17 = 713.96 : x
  2. Step 2: Convert to fraction form
    798.87/1,098.17 = 713.96/x
  3. Step 3: Cross multiply
    798.87x = 1,098.17 × 713.96
  4. Step 4: Simplify right side
    798.87x = 784,049.45
  5. Step 5: Solve for x
    x = 784,049.45/798.87
  6. Step 6: Final answer
    x = 981.45

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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.