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Finding the Fourth Proportional to 509.96, 762.68 and 455.56

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Solution

The fourth proportional to 509.96, 762.68 and 455.56 is: 681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.96 : 762.68 = 455.56 : x
  2. Step 2: Convert to fraction form
    509.96/762.68 = 455.56/x
  3. Step 3: Cross multiply
    509.96x = 762.68 × 455.56
  4. Step 4: Simplify right side
    509.96x = 347,445.73
  5. Step 5: Solve for x
    x = 347,445.73/509.96
  6. Step 6: Final answer
    x = 681.32

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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.