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Finding the Fourth Proportional to 499.86, 749.27 and 345.29

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Solution

The fourth proportional to 499.86, 749.27 and 345.29 is: 517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.86 : 749.27 = 345.29 : x
  2. Step 2: Convert to fraction form
    499.86/749.27 = 345.29/x
  3. Step 3: Cross multiply
    499.86x = 749.27 × 345.29
  4. Step 4: Simplify right side
    499.86x = 258,709.97
  5. Step 5: Solve for x
    x = 258,709.97/499.86
  6. Step 6: Final answer
    x = 517.56

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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.