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Finding the Fourth Proportional to 458.27, 687.86 and 406.54

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Solution

The fourth proportional to 458.27, 687.86 and 406.54 is: 610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.27 : 687.86 = 406.54 : x
  2. Step 2: Convert to fraction form
    458.27/687.86 = 406.54/x
  3. Step 3: Cross multiply
    458.27x = 687.86 × 406.54
  4. Step 4: Simplify right side
    458.27x = 279,637.13
  5. Step 5: Solve for x
    x = 279,637.13/458.27
  6. Step 6: Final answer
    x = 610.21

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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.