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Finding the Fourth Proportional to 1,147.92, 1,721.67 and 523.07

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Solution

The fourth proportional to 1,147.92, 1,721.67 and 523.07 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.92 : 1,721.67 = 523.07 : x
  2. Step 2: Convert to fraction form
    1,147.92/1,721.67 = 523.07/x
  3. Step 3: Cross multiply
    1,147.92x = 1,721.67 × 523.07
  4. Step 4: Simplify right side
    1,147.92x = 900,558.23
  5. Step 5: Solve for x
    x = 900,558.23/1,147.92
  6. Step 6: Final answer
    x = 784.51

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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.