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Finding the Fourth Proportional to 1,156.26, 1,736.69 and 993.07

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Solution

The fourth proportional to 1,156.26, 1,736.69 and 993.07 is: 1,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.26 : 1,736.69 = 993.07 : x
  2. Step 2: Convert to fraction form
    1,156.26/1,736.69 = 993.07/x
  3. Step 3: Cross multiply
    1,156.26x = 1,736.69 × 993.07
  4. Step 4: Simplify right side
    1,156.26x = 1,724,659.97
  5. Step 5: Solve for x
    x = 1,724,659.97/1,156.26
  6. Step 6: Final answer
    x = 1,491.58

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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.