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Finding the Fourth Proportional to 499.43, 688.47 and 375.09

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Solution

The fourth proportional to 499.43, 688.47 and 375.09 is: 517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.43 : 688.47 = 375.09 : x
  2. Step 2: Convert to fraction form
    499.43/688.47 = 375.09/x
  3. Step 3: Cross multiply
    499.43x = 688.47 × 375.09
  4. Step 4: Simplify right side
    499.43x = 258,238.21
  5. Step 5: Solve for x
    x = 258,238.21/499.43
  6. Step 6: Final answer
    x = 517.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.