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Finding the Fourth Proportional to 508.25, 758.44 and 453.58

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Solution

The fourth proportional to 508.25, 758.44 and 453.58 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.25 : 758.44 = 453.58 : x
  2. Step 2: Convert to fraction form
    508.25/758.44 = 453.58/x
  3. Step 3: Cross multiply
    508.25x = 758.44 × 453.58
  4. Step 4: Simplify right side
    508.25x = 344,013.22
  5. Step 5: Solve for x
    x = 344,013.22/508.25
  6. Step 6: Final answer
    x = 676.86

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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.