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Finding the Fourth Proportional to 559.86, 771.91 and 459.92

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Solution

The fourth proportional to 559.86, 771.91 and 459.92 is: 634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.86 : 771.91 = 459.92 : x
  2. Step 2: Convert to fraction form
    559.86/771.91 = 459.92/x
  3. Step 3: Cross multiply
    559.86x = 771.91 × 459.92
  4. Step 4: Simplify right side
    559.86x = 355,016.85
  5. Step 5: Solve for x
    x = 355,016.85/559.86
  6. Step 6: Final answer
    x = 634.12

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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.