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Finding the Fourth Proportional to 508.08, 761.53 and 450.41

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Solution

The fourth proportional to 508.08, 761.53 and 450.41 is: 675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.08 : 761.53 = 450.41 : x
  2. Step 2: Convert to fraction form
    508.08/761.53 = 450.41/x
  3. Step 3: Cross multiply
    508.08x = 761.53 × 450.41
  4. Step 4: Simplify right side
    508.08x = 343,000.38
  5. Step 5: Solve for x
    x = 343,000.38/508.08
  6. Step 6: Final answer
    x = 675.09

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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.