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Finding the Fourth Proportional to 813.26, 1,219.64 and 265.33

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Solution

The fourth proportional to 813.26, 1,219.64 and 265.33 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.26 : 1,219.64 = 265.33 : x
  2. Step 2: Convert to fraction form
    813.26/1,219.64 = 265.33/x
  3. Step 3: Cross multiply
    813.26x = 1,219.64 × 265.33
  4. Step 4: Simplify right side
    813.26x = 323,599.66
  5. Step 5: Solve for x
    x = 323,599.66/813.26
  6. Step 6: Final answer
    x = 397.90

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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.