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Finding the Fourth Proportional to 500.52, 689.73 and 360.39

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Solution

The fourth proportional to 500.52, 689.73 and 360.39 is: 496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 689.73 = 360.39 : x
  2. Step 2: Convert to fraction form
    500.52/689.73 = 360.39/x
  3. Step 3: Cross multiply
    500.52x = 689.73 × 360.39
  4. Step 4: Simplify right side
    500.52x = 248,571.79
  5. Step 5: Solve for x
    x = 248,571.79/500.52
  6. Step 6: Final answer
    x = 496.63

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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.