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Finding the Fourth Proportional to 567.13, 782.57 and 331.12

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Solution

The fourth proportional to 567.13, 782.57 and 331.12 is: 456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.13 : 782.57 = 331.12 : x
  2. Step 2: Convert to fraction form
    567.13/782.57 = 331.12/x
  3. Step 3: Cross multiply
    567.13x = 782.57 × 331.12
  4. Step 4: Simplify right side
    567.13x = 259,124.58
  5. Step 5: Solve for x
    x = 259,124.58/567.13
  6. Step 6: Final answer
    x = 456.91

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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.