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Finding the Fourth Proportional to 1,292.54, 1,783.67 and 796.01

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Solution

The fourth proportional to 1,292.54, 1,783.67 and 796.01 is: 1,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.54 : 1,783.67 = 796.01 : x
  2. Step 2: Convert to fraction form
    1,292.54/1,783.67 = 796.01/x
  3. Step 3: Cross multiply
    1,292.54x = 1,783.67 × 796.01
  4. Step 4: Simplify right side
    1,292.54x = 1,419,806.26
  5. Step 5: Solve for x
    x = 1,419,806.26/1,292.54
  6. Step 6: Final answer
    x = 1,098.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.