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Finding the Fourth Proportional to 550.71, 824.49 and 452.25

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Solution

The fourth proportional to 550.71, 824.49 and 452.25 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.71 : 824.49 = 452.25 : x
  2. Step 2: Convert to fraction form
    550.71/824.49 = 452.25/x
  3. Step 3: Cross multiply
    550.71x = 824.49 × 452.25
  4. Step 4: Simplify right side
    550.71x = 372,875.60
  5. Step 5: Solve for x
    x = 372,875.60/550.71
  6. Step 6: Final answer
    x = 677.08

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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.