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Finding the Fourth Proportional to 535.70, 739.73 and 339.56

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Solution

The fourth proportional to 535.70, 739.73 and 339.56 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.70 : 739.73 = 339.56 : x
  2. Step 2: Convert to fraction form
    535.70/739.73 = 339.56/x
  3. Step 3: Cross multiply
    535.70x = 739.73 × 339.56
  4. Step 4: Simplify right side
    535.70x = 251,181.02
  5. Step 5: Solve for x
    x = 251,181.02/535.70
  6. Step 6: Final answer
    x = 468.88

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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.