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Finding the Fourth Proportional to 559.37, 771.75 and 419.60

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Solution

The fourth proportional to 559.37, 771.75 and 419.60 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.37 : 771.75 = 419.60 : x
  2. Step 2: Convert to fraction form
    559.37/771.75 = 419.60/x
  3. Step 3: Cross multiply
    559.37x = 771.75 × 419.60
  4. Step 4: Simplify right side
    559.37x = 323,828.23
  5. Step 5: Solve for x
    x = 323,828.23/559.37
  6. Step 6: Final answer
    x = 578.91

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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.