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Finding the Fourth Proportional to 506.75, 758.76 and 262.77

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Solution

The fourth proportional to 506.75, 758.76 and 262.77 is: 393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 758.76 = 262.77 : x
  2. Step 2: Convert to fraction form
    506.75/758.76 = 262.77/x
  3. Step 3: Cross multiply
    506.75x = 758.76 × 262.77
  4. Step 4: Simplify right side
    506.75x = 199,379.37
  5. Step 5: Solve for x
    x = 199,379.37/506.75
  6. Step 6: Final answer
    x = 393.45

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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.