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Finding the Fourth Proportional to 550.82, 759.34 and 419.60

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Solution

The fourth proportional to 550.82, 759.34 and 419.60 is: 578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.82 : 759.34 = 419.60 : x
  2. Step 2: Convert to fraction form
    550.82/759.34 = 419.60/x
  3. Step 3: Cross multiply
    550.82x = 759.34 × 419.60
  4. Step 4: Simplify right side
    550.82x = 318,621.49
  5. Step 5: Solve for x
    x = 318,621.49/550.82
  6. Step 6: Final answer
    x = 578.45

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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.