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Finding the Fourth Proportional to 463.28, 635.92 and 409.65

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Solution

The fourth proportional to 463.28, 635.92 and 409.65 is: 562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 635.92 = 409.65 : x
  2. Step 2: Convert to fraction form
    463.28/635.92 = 409.65/x
  3. Step 3: Cross multiply
    463.28x = 635.92 × 409.65
  4. Step 4: Simplify right side
    463.28x = 260,501.22
  5. Step 5: Solve for x
    x = 260,501.22/463.28
  6. Step 6: Final answer
    x = 562.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.