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Finding the Fourth Proportional to 460.49, 687.08 and 408.24

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Solution

The fourth proportional to 460.49, 687.08 and 408.24 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 687.08 = 408.24 : x
  2. Step 2: Convert to fraction form
    460.49/687.08 = 408.24/x
  3. Step 3: Cross multiply
    460.49x = 687.08 × 408.24
  4. Step 4: Simplify right side
    460.49x = 280,494.56
  5. Step 5: Solve for x
    x = 280,494.56/460.49
  6. Step 6: Final answer
    x = 609.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.