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Finding the Fourth Proportional to 805.58, 1,207.56 and 343.66

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Solution

The fourth proportional to 805.58, 1,207.56 and 343.66 is: 515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.58 : 1,207.56 = 343.66 : x
  2. Step 2: Convert to fraction form
    805.58/1,207.56 = 343.66/x
  3. Step 3: Cross multiply
    805.58x = 1,207.56 × 343.66
  4. Step 4: Simplify right side
    805.58x = 414,990.07
  5. Step 5: Solve for x
    x = 414,990.07/805.58
  6. Step 6: Final answer
    x = 515.14

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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.