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Finding the Fourth Proportional to 567.49, 782.89 and 331.42

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Solution

The fourth proportional to 567.49, 782.89 and 331.42 is: 457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 782.89 = 331.42 : x
  2. Step 2: Convert to fraction form
    567.49/782.89 = 331.42/x
  3. Step 3: Cross multiply
    567.49x = 782.89 × 331.42
  4. Step 4: Simplify right side
    567.49x = 259,465.40
  5. Step 5: Solve for x
    x = 259,465.40/567.49
  6. Step 6: Final answer
    x = 457.22

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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.