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Finding the Fourth Proportional to 567, 782.60 and 334.26

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Solution

The fourth proportional to 567, 782.60 and 334.26 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 782.60 = 334.26 : x
  2. Step 2: Convert to fraction form
    567/782.60 = 334.26/x
  3. Step 3: Cross multiply
    567x = 782.60 × 334.26
  4. Step 4: Simplify right side
    567x = 261,590.20
  5. Step 5: Solve for x
    x = 261,590.20/567
  6. Step 6: Final answer
    x = 461.36

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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.