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Finding the Fourth Proportional to 507.63, 759.81 and 452.70

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Solution

The fourth proportional to 507.63, 759.81 and 452.70 is: 677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.63 : 759.81 = 452.70 : x
  2. Step 2: Convert to fraction form
    507.63/759.81 = 452.70/x
  3. Step 3: Cross multiply
    507.63x = 759.81 × 452.70
  4. Step 4: Simplify right side
    507.63x = 343,965.99
  5. Step 5: Solve for x
    x = 343,965.99/507.63
  6. Step 6: Final answer
    x = 677.59

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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.