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Finding the Fourth Proportional to 459.86, 634.62 and 282.92

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Solution

The fourth proportional to 459.86, 634.62 and 282.92 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.86 : 634.62 = 282.92 : x
  2. Step 2: Convert to fraction form
    459.86/634.62 = 282.92/x
  3. Step 3: Cross multiply
    459.86x = 634.62 × 282.92
  4. Step 4: Simplify right side
    459.86x = 179,545.28
  5. Step 5: Solve for x
    x = 179,545.28/459.86
  6. Step 6: Final answer
    x = 390.43

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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.