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Finding the Fourth Proportional to 550.46, 825.72 and 454.10

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Solution

The fourth proportional to 550.46, 825.72 and 454.10 is: 681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.46 : 825.72 = 454.10 : x
  2. Step 2: Convert to fraction form
    550.46/825.72 = 454.10/x
  3. Step 3: Cross multiply
    550.46x = 825.72 × 454.10
  4. Step 4: Simplify right side
    550.46x = 374,959.45
  5. Step 5: Solve for x
    x = 374,959.45/550.46
  6. Step 6: Final answer
    x = 681.17

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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.