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Finding the Fourth Proportional to 1,293.12, 1,782.81 and 850.86

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Solution

The fourth proportional to 1,293.12, 1,782.81 and 850.86 is: 1,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.12 : 1,782.81 = 850.86 : x
  2. Step 2: Convert to fraction form
    1,293.12/1,782.81 = 850.86/x
  3. Step 3: Cross multiply
    1,293.12x = 1,782.81 × 850.86
  4. Step 4: Simplify right side
    1,293.12x = 1,516,921.72
  5. Step 5: Solve for x
    x = 1,516,921.72/1,293.12
  6. Step 6: Final answer
    x = 1,173.07

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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.