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Finding the Fourth Proportional to 535.31, 799.06 and 491.97

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Solution

The fourth proportional to 535.31, 799.06 and 491.97 is: 734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 799.06 = 491.97 : x
  2. Step 2: Convert to fraction form
    535.31/799.06 = 491.97/x
  3. Step 3: Cross multiply
    535.31x = 799.06 × 491.97
  4. Step 4: Simplify right side
    535.31x = 393,113.55
  5. Step 5: Solve for x
    x = 393,113.55/535.31
  6. Step 6: Final answer
    x = 734.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.