Home / 1,272.27-1,754.16-823.40

Finding the Fourth Proportional to 1,272.27, 1,754.16 and 823.40

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Solution

The fourth proportional to 1,272.27, 1,754.16 and 823.40 is: 1,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.27 : 1,754.16 = 823.40 : x
  2. Step 2: Convert to fraction form
    1,272.27/1,754.16 = 823.40/x
  3. Step 3: Cross multiply
    1,272.27x = 1,754.16 × 823.40
  4. Step 4: Simplify right side
    1,272.27x = 1,444,370.06
  5. Step 5: Solve for x
    x = 1,444,370.06/1,272.27
  6. Step 6: Final answer
    x = 1,135.27

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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.