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Finding the Fourth Proportional to 463.49, 694.32 and 360.21

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Solution

The fourth proportional to 463.49, 694.32 and 360.21 is: 539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.49 : 694.32 = 360.21 : x
  2. Step 2: Convert to fraction form
    463.49/694.32 = 360.21/x
  3. Step 3: Cross multiply
    463.49x = 694.32 × 360.21
  4. Step 4: Simplify right side
    463.49x = 250,101.01
  5. Step 5: Solve for x
    x = 250,101.01/463.49
  6. Step 6: Final answer
    x = 539.61

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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.