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Finding the Fourth Proportional to 1,290.92, 1,781.42 and 731.37

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Solution

The fourth proportional to 1,290.92, 1,781.42 and 731.37 is: 1,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.92 : 1,781.42 = 731.37 : x
  2. Step 2: Convert to fraction form
    1,290.92/1,781.42 = 731.37/x
  3. Step 3: Cross multiply
    1,290.92x = 1,781.42 × 731.37
  4. Step 4: Simplify right side
    1,290.92x = 1,302,873.49
  5. Step 5: Solve for x
    x = 1,302,873.49/1,290.92
  6. Step 6: Final answer
    x = 1,009.26

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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.