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Finding the Fourth Proportional to 1,290.81, 1,781.57 and 892.37

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Solution

The fourth proportional to 1,290.81, 1,781.57 and 892.37 is: 1,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.81 : 1,781.57 = 892.37 : x
  2. Step 2: Convert to fraction form
    1,290.81/1,781.57 = 892.37/x
  3. Step 3: Cross multiply
    1,290.81x = 1,781.57 × 892.37
  4. Step 4: Simplify right side
    1,290.81x = 1,589,813.77
  5. Step 5: Solve for x
    x = 1,589,813.77/1,290.81
  6. Step 6: Final answer
    x = 1,231.64

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1.5x scale

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.