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Finding the Fourth Proportional to 813.21, 1,217.87 and 465.49

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Solution

The fourth proportional to 813.21, 1,217.87 and 465.49 is: 697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.21 : 1,217.87 = 465.49 : x
  2. Step 2: Convert to fraction form
    813.21/1,217.87 = 465.49/x
  3. Step 3: Cross multiply
    813.21x = 1,217.87 × 465.49
  4. Step 4: Simplify right side
    813.21x = 566,906.31
  5. Step 5: Solve for x
    x = 566,906.31/813.21
  6. Step 6: Final answer
    x = 697.12

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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.