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Finding the Fourth Proportional to 535.91, 739.78 and 359.15

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Solution

The fourth proportional to 535.91, 739.78 and 359.15 is: 495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.91 : 739.78 = 359.15 : x
  2. Step 2: Convert to fraction form
    535.91/739.78 = 359.15/x
  3. Step 3: Cross multiply
    535.91x = 739.78 × 359.15
  4. Step 4: Simplify right side
    535.91x = 265,687.39
  5. Step 5: Solve for x
    x = 265,687.39/535.91
  6. Step 6: Final answer
    x = 495.77

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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.