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Finding the Fourth Proportional to 507.06, 759.38 and 452.39

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Solution

The fourth proportional to 507.06, 759.38 and 452.39 is: 677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.06 : 759.38 = 452.39 : x
  2. Step 2: Convert to fraction form
    507.06/759.38 = 452.39/x
  3. Step 3: Cross multiply
    507.06x = 759.38 × 452.39
  4. Step 4: Simplify right side
    507.06x = 343,529.86
  5. Step 5: Solve for x
    x = 343,529.86/507.06
  6. Step 6: Final answer
    x = 677.49

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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.