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Finding the Fourth Proportional to 496.83, 687.17 and 392.95

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Solution

The fourth proportional to 496.83, 687.17 and 392.95 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.83 : 687.17 = 392.95 : x
  2. Step 2: Convert to fraction form
    496.83/687.17 = 392.95/x
  3. Step 3: Cross multiply
    496.83x = 687.17 × 392.95
  4. Step 4: Simplify right side
    496.83x = 270,018.05
  5. Step 5: Solve for x
    x = 270,018.05/496.83
  6. Step 6: Final answer
    x = 543.48

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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.