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Finding the Fourth Proportional to 813.94, 1,221.11 and 258.63

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Solution

The fourth proportional to 813.94, 1,221.11 and 258.63 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.94 : 1,221.11 = 258.63 : x
  2. Step 2: Convert to fraction form
    813.94/1,221.11 = 258.63/x
  3. Step 3: Cross multiply
    813.94x = 1,221.11 × 258.63
  4. Step 4: Simplify right side
    813.94x = 315,815.68
  5. Step 5: Solve for x
    x = 315,815.68/813.94
  6. Step 6: Final answer
    x = 388.01

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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.