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Finding the Fourth Proportional to 508.56, 758.96 and 453.90

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Solution

The fourth proportional to 508.56, 758.96 and 453.90 is: 677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 758.96 = 453.90 : x
  2. Step 2: Convert to fraction form
    508.56/758.96 = 453.90/x
  3. Step 3: Cross multiply
    508.56x = 758.96 × 453.90
  4. Step 4: Simplify right side
    508.56x = 344,491.94
  5. Step 5: Solve for x
    x = 344,491.94/508.56
  6. Step 6: Final answer
    x = 677.39

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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.