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Finding the Fourth Proportional to 550.63, 825.23 and 420.15

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Solution

The fourth proportional to 550.63, 825.23 and 420.15 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.63 : 825.23 = 420.15 : x
  2. Step 2: Convert to fraction form
    550.63/825.23 = 420.15/x
  3. Step 3: Cross multiply
    550.63x = 825.23 × 420.15
  4. Step 4: Simplify right side
    550.63x = 346,718.32
  5. Step 5: Solve for x
    x = 346,718.32/550.63
  6. Step 6: Final answer
    x = 629.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.