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Finding the Fourth Proportional to 813.23, 1,217.79 and 538.49

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Solution

The fourth proportional to 813.23, 1,217.79 and 538.49 is: 806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.23 : 1,217.79 = 538.49 : x
  2. Step 2: Convert to fraction form
    813.23/1,217.79 = 538.49/x
  3. Step 3: Cross multiply
    813.23x = 1,217.79 × 538.49
  4. Step 4: Simplify right side
    813.23x = 655,767.74
  5. Step 5: Solve for x
    x = 655,767.74/813.23
  6. Step 6: Final answer
    x = 806.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.