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Finding the Fourth Proportional to 813.68, 1,115.56 and 798.91

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Solution

The fourth proportional to 813.68, 1,115.56 and 798.91 is: 1,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.68 : 1,115.56 = 798.91 : x
  2. Step 2: Convert to fraction form
    813.68/1,115.56 = 798.91/x
  3. Step 3: Cross multiply
    813.68x = 1,115.56 × 798.91
  4. Step 4: Simplify right side
    813.68x = 891,232.03
  5. Step 5: Solve for x
    x = 891,232.03/813.68
  6. Step 6: Final answer
    x = 1,095.31

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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.