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Finding the Fourth Proportional to 559.54, 771.69 and 419.99

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Solution

The fourth proportional to 559.54, 771.69 and 419.99 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.54 : 771.69 = 419.99 : x
  2. Step 2: Convert to fraction form
    559.54/771.69 = 419.99/x
  3. Step 3: Cross multiply
    559.54x = 771.69 × 419.99
  4. Step 4: Simplify right side
    559.54x = 324,102.08
  5. Step 5: Solve for x
    x = 324,102.08/559.54
  6. Step 6: Final answer
    x = 579.23

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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.