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Finding the Fourth Proportional to 567.17, 782.75 and 334.25

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Solution

The fourth proportional to 567.17, 782.75 and 334.25 is: 461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.17 : 782.75 = 334.25 : x
  2. Step 2: Convert to fraction form
    567.17/782.75 = 334.25/x
  3. Step 3: Cross multiply
    567.17x = 782.75 × 334.25
  4. Step 4: Simplify right side
    567.17x = 261,632.52
  5. Step 5: Solve for x
    x = 261,632.52/567.17
  6. Step 6: Final answer
    x = 461.29

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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.