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Finding the Fourth Proportional to 567.09, 782.69 and 411.75

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Solution

The fourth proportional to 567.09, 782.69 and 411.75 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.09 : 782.69 = 411.75 : x
  2. Step 2: Convert to fraction form
    567.09/782.69 = 411.75/x
  3. Step 3: Cross multiply
    567.09x = 782.69 × 411.75
  4. Step 4: Simplify right side
    567.09x = 322,270.55
  5. Step 5: Solve for x
    x = 322,270.55/567.09
  6. Step 6: Final answer
    x = 568.29

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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.