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Finding the Fourth Proportional to 816.86, 1,218.90 and 798.23

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Solution

The fourth proportional to 816.86, 1,218.90 and 798.23 is: 1,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.86 : 1,218.90 = 798.23 : x
  2. Step 2: Convert to fraction form
    816.86/1,218.90 = 798.23/x
  3. Step 3: Cross multiply
    816.86x = 1,218.90 × 798.23
  4. Step 4: Simplify right side
    816.86x = 972,956.45
  5. Step 5: Solve for x
    x = 972,956.45/816.86
  6. Step 6: Final answer
    x = 1,191.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.