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Finding the Fourth Proportional to 1,171.91, 1,757.99 and 306.23

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Solution

The fourth proportional to 1,171.91, 1,757.99 and 306.23 is: 459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.91 : 1,757.99 = 306.23 : x
  2. Step 2: Convert to fraction form
    1,171.91/1,757.99 = 306.23/x
  3. Step 3: Cross multiply
    1,171.91x = 1,757.99 × 306.23
  4. Step 4: Simplify right side
    1,171.91x = 538,349.28
  5. Step 5: Solve for x
    x = 538,349.28/1,171.91
  6. Step 6: Final answer
    x = 459.38

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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.