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Finding the Fourth Proportional to 567.20, 782.78 and 331.22

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Solution

The fourth proportional to 567.20, 782.78 and 331.22 is: 457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.20 : 782.78 = 331.22 : x
  2. Step 2: Convert to fraction form
    567.20/782.78 = 331.22/x
  3. Step 3: Cross multiply
    567.20x = 782.78 × 331.22
  4. Step 4: Simplify right side
    567.20x = 259,272.39
  5. Step 5: Solve for x
    x = 259,272.39/567.20
  6. Step 6: Final answer
    x = 457.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.