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Finding the Fourth Proportional to 506.65, 761.37 and 301.27

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Solution

The fourth proportional to 506.65, 761.37 and 301.27 is: 452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 761.37 = 301.27 : x
  2. Step 2: Convert to fraction form
    506.65/761.37 = 301.27/x
  3. Step 3: Cross multiply
    506.65x = 761.37 × 301.27
  4. Step 4: Simplify right side
    506.65x = 229,372.63
  5. Step 5: Solve for x
    x = 229,372.63/506.65
  6. Step 6: Final answer
    x = 452.72

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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.