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Finding the Fourth Proportional to 550.42, 759.18 and 419.74

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Solution

The fourth proportional to 550.42, 759.18 and 419.74 is: 578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.42 : 759.18 = 419.74 : x
  2. Step 2: Convert to fraction form
    550.42/759.18 = 419.74/x
  3. Step 3: Cross multiply
    550.42x = 759.18 × 419.74
  4. Step 4: Simplify right side
    550.42x = 318,658.21
  5. Step 5: Solve for x
    x = 318,658.21/550.42
  6. Step 6: Final answer
    x = 578.94

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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.