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Finding the Fourth Proportional to 1,291.23, 1,781.91 and 731.72

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Solution

The fourth proportional to 1,291.23, 1,781.91 and 731.72 is: 1,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.23 : 1,781.91 = 731.72 : x
  2. Step 2: Convert to fraction form
    1,291.23/1,781.91 = 731.72/x
  3. Step 3: Cross multiply
    1,291.23x = 1,781.91 × 731.72
  4. Step 4: Simplify right side
    1,291.23x = 1,303,850.28
  5. Step 5: Solve for x
    x = 1,303,850.28/1,291.23
  6. Step 6: Final answer
    x = 1,009.77

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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.