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Finding the Fourth Proportional to 506.81, 755.62 and 475.83

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Solution

The fourth proportional to 506.81, 755.62 and 475.83 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 755.62 = 475.83 : x
  2. Step 2: Convert to fraction form
    506.81/755.62 = 475.83/x
  3. Step 3: Cross multiply
    506.81x = 755.62 × 475.83
  4. Step 4: Simplify right side
    506.81x = 359,545.48
  5. Step 5: Solve for x
    x = 359,545.48/506.81
  6. Step 6: Final answer
    x = 709.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.