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Finding the Fourth Proportional to 1,081.26, 1,490.67 and 731.34

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Solution

The fourth proportional to 1,081.26, 1,490.67 and 731.34 is: 1,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.26 : 1,490.67 = 731.34 : x
  2. Step 2: Convert to fraction form
    1,081.26/1,490.67 = 731.34/x
  3. Step 3: Cross multiply
    1,081.26x = 1,490.67 × 731.34
  4. Step 4: Simplify right side
    1,081.26x = 1,090,186.60
  5. Step 5: Solve for x
    x = 1,090,186.60/1,081.26
  6. Step 6: Final answer
    x = 1,008.26

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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.