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Finding the Fourth Proportional to 502.56, 757.44 and 431.28

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Solution

The fourth proportional to 502.56, 757.44 and 431.28 is: 650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 757.44 = 431.28 : x
  2. Step 2: Convert to fraction form
    502.56/757.44 = 431.28/x
  3. Step 3: Cross multiply
    502.56x = 757.44 × 431.28
  4. Step 4: Simplify right side
    502.56x = 326,668.72
  5. Step 5: Solve for x
    x = 326,668.72/502.56
  6. Step 6: Final answer
    x = 650.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.