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Finding the Fourth Proportional to 507.37, 757.38 and 445.86

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Solution

The fourth proportional to 507.37, 757.38 and 445.86 is: 665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.37 : 757.38 = 445.86 : x
  2. Step 2: Convert to fraction form
    507.37/757.38 = 445.86/x
  3. Step 3: Cross multiply
    507.37x = 757.38 × 445.86
  4. Step 4: Simplify right side
    507.37x = 337,682.44
  5. Step 5: Solve for x
    x = 337,682.44/507.37
  6. Step 6: Final answer
    x = 665.56

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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.