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Finding the Fourth Proportional to 459.25, 634.17 and 342.61

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Solution

The fourth proportional to 459.25, 634.17 and 342.61 is: 473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 634.17 = 342.61 : x
  2. Step 2: Convert to fraction form
    459.25/634.17 = 342.61/x
  3. Step 3: Cross multiply
    459.25x = 634.17 × 342.61
  4. Step 4: Simplify right side
    459.25x = 217,272.98
  5. Step 5: Solve for x
    x = 217,272.98/459.25
  6. Step 6: Final answer
    x = 473.10

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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.