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Finding the Fourth Proportional to 1,317.34, 1,975.56 and 733.23

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Solution

The fourth proportional to 1,317.34, 1,975.56 and 733.23 is: 1,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.34 : 1,975.56 = 733.23 : x
  2. Step 2: Convert to fraction form
    1,317.34/1,975.56 = 733.23/x
  3. Step 3: Cross multiply
    1,317.34x = 1,975.56 × 733.23
  4. Step 4: Simplify right side
    1,317.34x = 1,448,537.11
  5. Step 5: Solve for x
    x = 1,448,537.11/1,317.34
  6. Step 6: Final answer
    x = 1,099.59

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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.