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Finding the Fourth Proportional to 506.74, 759.63 and 301.36

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Solution

The fourth proportional to 506.74, 759.63 and 301.36 is: 451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 759.63 = 301.36 : x
  2. Step 2: Convert to fraction form
    506.74/759.63 = 301.36/x
  3. Step 3: Cross multiply
    506.74x = 759.63 × 301.36
  4. Step 4: Simplify right side
    506.74x = 228,922.10
  5. Step 5: Solve for x
    x = 228,922.10/506.74
  6. Step 6: Final answer
    x = 451.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.