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Finding the Fourth Proportional to 534.97, 734.56 and 451.75

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Solution

The fourth proportional to 534.97, 734.56 and 451.75 is: 620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 734.56 = 451.75 : x
  2. Step 2: Convert to fraction form
    534.97/734.56 = 451.75/x
  3. Step 3: Cross multiply
    534.97x = 734.56 × 451.75
  4. Step 4: Simplify right side
    534.97x = 331,837.48
  5. Step 5: Solve for x
    x = 331,837.48/534.97
  6. Step 6: Final answer
    x = 620.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.