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Finding the Fourth Proportional to 499.71, 748.91 and 345.39

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Solution

The fourth proportional to 499.71, 748.91 and 345.39 is: 517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.71 : 748.91 = 345.39 : x
  2. Step 2: Convert to fraction form
    499.71/748.91 = 345.39/x
  3. Step 3: Cross multiply
    499.71x = 748.91 × 345.39
  4. Step 4: Simplify right side
    499.71x = 258,666.02
  5. Step 5: Solve for x
    x = 258,666.02/499.71
  6. Step 6: Final answer
    x = 517.63

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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.