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Finding the Fourth Proportional to 805.53, 1,208.31 and 343.39

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Solution

The fourth proportional to 805.53, 1,208.31 and 343.39 is: 515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.53 : 1,208.31 = 343.39 : x
  2. Step 2: Convert to fraction form
    805.53/1,208.31 = 343.39/x
  3. Step 3: Cross multiply
    805.53x = 1,208.31 × 343.39
  4. Step 4: Simplify right side
    805.53x = 414,913.81
  5. Step 5: Solve for x
    x = 414,913.81/805.53
  6. Step 6: Final answer
    x = 515.08

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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.