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Finding the Fourth Proportional to 463.20, 694.80 and 405.49

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Solution

The fourth proportional to 463.20, 694.80 and 405.49 is: 608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 694.80 = 405.49 : x
  2. Step 2: Convert to fraction form
    463.20/694.80 = 405.49/x
  3. Step 3: Cross multiply
    463.20x = 694.80 × 405.49
  4. Step 4: Simplify right side
    463.20x = 281,734.45
  5. Step 5: Solve for x
    x = 281,734.45/463.20
  6. Step 6: Final answer
    x = 608.24

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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.