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Finding the Fourth Proportional to 572.67, 863.46 and 519.21

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Solution

The fourth proportional to 572.67, 863.46 and 519.21 is: 782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.67 : 863.46 = 519.21 : x
  2. Step 2: Convert to fraction form
    572.67/863.46 = 519.21/x
  3. Step 3: Cross multiply
    572.67x = 863.46 × 519.21
  4. Step 4: Simplify right side
    572.67x = 448,317.07
  5. Step 5: Solve for x
    x = 448,317.07/572.67
  6. Step 6: Final answer
    x = 782.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.