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Finding the Fourth Proportional to 849.44, 1,271.73 and 557.27

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Solution

The fourth proportional to 849.44, 1,271.73 and 557.27 is: 834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.44 : 1,271.73 = 557.27 : x
  2. Step 2: Convert to fraction form
    849.44/1,271.73 = 557.27/x
  3. Step 3: Cross multiply
    849.44x = 1,271.73 × 557.27
  4. Step 4: Simplify right side
    849.44x = 708,696.98
  5. Step 5: Solve for x
    x = 708,696.98/849.44
  6. Step 6: Final answer
    x = 834.31

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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.