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Finding the Fourth Proportional to 535.14, 734.94 and 447.66

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Solution

The fourth proportional to 535.14, 734.94 and 447.66 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 734.94 = 447.66 : x
  2. Step 2: Convert to fraction form
    535.14/734.94 = 447.66/x
  3. Step 3: Cross multiply
    535.14x = 734.94 × 447.66
  4. Step 4: Simplify right side
    535.14x = 329,003.24
  5. Step 5: Solve for x
    x = 329,003.24/535.14
  6. Step 6: Final answer
    x = 614.80

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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.