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Finding the Fourth Proportional to 506.10, 701.36 and 496.38

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Solution

The fourth proportional to 506.10, 701.36 and 496.38 is: 687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 701.36 = 496.38 : x
  2. Step 2: Convert to fraction form
    506.10/701.36 = 496.38/x
  3. Step 3: Cross multiply
    506.10x = 701.36 × 496.38
  4. Step 4: Simplify right side
    506.10x = 348,138.59
  5. Step 5: Solve for x
    x = 348,138.59/506.10
  6. Step 6: Final answer
    x = 687.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.