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Finding the Fourth Proportional to 535.99, 739.78 and 339.62

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Solution

The fourth proportional to 535.99, 739.78 and 339.62 is: 468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.99 : 739.78 = 339.62 : x
  2. Step 2: Convert to fraction form
    535.99/739.78 = 339.62/x
  3. Step 3: Cross multiply
    535.99x = 739.78 × 339.62
  4. Step 4: Simplify right side
    535.99x = 251,243.53
  5. Step 5: Solve for x
    x = 251,243.53/535.99
  6. Step 6: Final answer
    x = 468.74

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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.