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Finding the Fourth Proportional to 813.33, 1,217.16 and 779.31

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Solution

The fourth proportional to 813.33, 1,217.16 and 779.31 is: 1,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.33 : 1,217.16 = 779.31 : x
  2. Step 2: Convert to fraction form
    813.33/1,217.16 = 779.31/x
  3. Step 3: Cross multiply
    813.33x = 1,217.16 × 779.31
  4. Step 4: Simplify right side
    813.33x = 948,544.96
  5. Step 5: Solve for x
    x = 948,544.96/813.33
  6. Step 6: Final answer
    x = 1,166.25

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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.