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Finding the Fourth Proportional to 567.38, 782.98 and 334.50

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Solution

The fourth proportional to 567.38, 782.98 and 334.50 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.38 : 782.98 = 334.50 : x
  2. Step 2: Convert to fraction form
    567.38/782.98 = 334.50/x
  3. Step 3: Cross multiply
    567.38x = 782.98 × 334.50
  4. Step 4: Simplify right side
    567.38x = 261,905.97
  5. Step 5: Solve for x
    x = 261,905.97/567.38
  6. Step 6: Final answer
    x = 461.61

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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.