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Finding the Fourth Proportional to 523.13, 784.69 and 138.38

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Solution

The fourth proportional to 523.13, 784.69 and 138.38 is: 207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 784.69 = 138.38 : x
  2. Step 2: Convert to fraction form
    523.13/784.69 = 138.38/x
  3. Step 3: Cross multiply
    523.13x = 784.69 × 138.38
  4. Step 4: Simplify right side
    523.13x = 108,581.13
  5. Step 5: Solve for x
    x = 108,581.13/523.13
  6. Step 6: Final answer
    x = 207.56

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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.