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Finding the Fourth Proportional to 550.81, 825.43 and 428.53

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Solution

The fourth proportional to 550.81, 825.43 and 428.53 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.81 : 825.43 = 428.53 : x
  2. Step 2: Convert to fraction form
    550.81/825.43 = 428.53/x
  3. Step 3: Cross multiply
    550.81x = 825.43 × 428.53
  4. Step 4: Simplify right side
    550.81x = 353,721.52
  5. Step 5: Solve for x
    x = 353,721.52/550.81
  6. Step 6: Final answer
    x = 642.18

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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.