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Finding the Fourth Proportional to 506.08, 696.87 and 449.27

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Solution

The fourth proportional to 506.08, 696.87 and 449.27 is: 618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 696.87 = 449.27 : x
  2. Step 2: Convert to fraction form
    506.08/696.87 = 449.27/x
  3. Step 3: Cross multiply
    506.08x = 696.87 × 449.27
  4. Step 4: Simplify right side
    506.08x = 313,082.78
  5. Step 5: Solve for x
    x = 313,082.78/506.08
  6. Step 6: Final answer
    x = 618.64

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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.