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Finding the Fourth Proportional to 456.24, 629.98 and 409.54

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Solution

The fourth proportional to 456.24, 629.98 and 409.54 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 629.98 = 409.54 : x
  2. Step 2: Convert to fraction form
    456.24/629.98 = 409.54/x
  3. Step 3: Cross multiply
    456.24x = 629.98 × 409.54
  4. Step 4: Simplify right side
    456.24x = 258,002.01
  5. Step 5: Solve for x
    x = 258,002.01/456.24
  6. Step 6: Final answer
    x = 565.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.