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Finding the Fourth Proportional to 523.99, 785.43 and 250.27

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Solution

The fourth proportional to 523.99, 785.43 and 250.27 is: 375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 785.43 = 250.27 : x
  2. Step 2: Convert to fraction form
    523.99/785.43 = 250.27/x
  3. Step 3: Cross multiply
    523.99x = 785.43 × 250.27
  4. Step 4: Simplify right side
    523.99x = 196,569.57
  5. Step 5: Solve for x
    x = 196,569.57/523.99
  6. Step 6: Final answer
    x = 375.14

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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.