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Finding the Fourth Proportional to 1,217.49, 1,825.72 and 523.79

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Solution

The fourth proportional to 1,217.49, 1,825.72 and 523.79 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.49 : 1,825.72 = 523.79 : x
  2. Step 2: Convert to fraction form
    1,217.49/1,825.72 = 523.79/x
  3. Step 3: Cross multiply
    1,217.49x = 1,825.72 × 523.79
  4. Step 4: Simplify right side
    1,217.49x = 956,293.23
  5. Step 5: Solve for x
    x = 956,293.23/1,217.49
  6. Step 6: Final answer
    x = 785.47

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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.