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Finding the Fourth Proportional to 809.32, 1,213.06 and 346.42

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Solution

The fourth proportional to 809.32, 1,213.06 and 346.42 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.32 : 1,213.06 = 346.42 : x
  2. Step 2: Convert to fraction form
    809.32/1,213.06 = 346.42/x
  3. Step 3: Cross multiply
    809.32x = 1,213.06 × 346.42
  4. Step 4: Simplify right side
    809.32x = 420,228.25
  5. Step 5: Solve for x
    x = 420,228.25/809.32
  6. Step 6: Final answer
    x = 519.24

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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.