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Finding the Fourth Proportional to 550.30, 759.06 and 419.08

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Solution

The fourth proportional to 550.30, 759.06 and 419.08 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.30 : 759.06 = 419.08 : x
  2. Step 2: Convert to fraction form
    550.30/759.06 = 419.08/x
  3. Step 3: Cross multiply
    550.30x = 759.06 × 419.08
  4. Step 4: Simplify right side
    550.30x = 318,106.86
  5. Step 5: Solve for x
    x = 318,106.86/550.30
  6. Step 6: Final answer
    x = 578.06

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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.