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Finding the Fourth Proportional to 514.86, 773.37 and 450.06

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Solution

The fourth proportional to 514.86, 773.37 and 450.06 is: 676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.86 : 773.37 = 450.06 : x
  2. Step 2: Convert to fraction form
    514.86/773.37 = 450.06/x
  3. Step 3: Cross multiply
    514.86x = 773.37 × 450.06
  4. Step 4: Simplify right side
    514.86x = 348,062.90
  5. Step 5: Solve for x
    x = 348,062.90/514.86
  6. Step 6: Final answer
    x = 676.03

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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.