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Finding the Fourth Proportional to 809.56, 1,213.98 and 463.24

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Solution

The fourth proportional to 809.56, 1,213.98 and 463.24 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.56 : 1,213.98 = 463.24 : x
  2. Step 2: Convert to fraction form
    809.56/1,213.98 = 463.24/x
  3. Step 3: Cross multiply
    809.56x = 1,213.98 × 463.24
  4. Step 4: Simplify right side
    809.56x = 562,364.10
  5. Step 5: Solve for x
    x = 562,364.10/809.56
  6. Step 6: Final answer
    x = 694.65

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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.