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Finding the Fourth Proportional to 805.35, 1,207.83 and 311.66

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Solution

The fourth proportional to 805.35, 1,207.83 and 311.66 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.35 : 1,207.83 = 311.66 : x
  2. Step 2: Convert to fraction form
    805.35/1,207.83 = 311.66/x
  3. Step 3: Cross multiply
    805.35x = 1,207.83 × 311.66
  4. Step 4: Simplify right side
    805.35x = 376,426.26
  5. Step 5: Solve for x
    x = 376,426.26/805.35
  6. Step 6: Final answer
    x = 467.41

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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.