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Finding the Fourth Proportional to 521.97, 778.53 and 452.94

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Solution

The fourth proportional to 521.97, 778.53 and 452.94 is: 675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.97 : 778.53 = 452.94 : x
  2. Step 2: Convert to fraction form
    521.97/778.53 = 452.94/x
  3. Step 3: Cross multiply
    521.97x = 778.53 × 452.94
  4. Step 4: Simplify right side
    521.97x = 352,626.25
  5. Step 5: Solve for x
    x = 352,626.25/521.97
  6. Step 6: Final answer
    x = 675.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.