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Finding the Fourth Proportional to 1,262.82, 1,741.38 and 889.21

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Solution

The fourth proportional to 1,262.82, 1,741.38 and 889.21 is: 1,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.82 : 1,741.38 = 889.21 : x
  2. Step 2: Convert to fraction form
    1,262.82/1,741.38 = 889.21/x
  3. Step 3: Cross multiply
    1,262.82x = 1,741.38 × 889.21
  4. Step 4: Simplify right side
    1,262.82x = 1,548,452.51
  5. Step 5: Solve for x
    x = 1,548,452.51/1,262.82
  6. Step 6: Final answer
    x = 1,226.19

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Double scale
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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.