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Finding the Fourth Proportional to 459.24, 634.86 and 439.92

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Solution

The fourth proportional to 459.24, 634.86 and 439.92 is: 608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 634.86 = 439.92 : x
  2. Step 2: Convert to fraction form
    459.24/634.86 = 439.92/x
  3. Step 3: Cross multiply
    459.24x = 634.86 × 439.92
  4. Step 4: Simplify right side
    459.24x = 279,287.61
  5. Step 5: Solve for x
    x = 279,287.61/459.24
  6. Step 6: Final answer
    x = 608.15

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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.