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Finding the Fourth Proportional to 1,258.85, 1,744.55 and 1,241.22

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Solution

The fourth proportional to 1,258.85, 1,744.55 and 1,241.22 is: 1,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.85 : 1,744.55 = 1,241.22 : x
  2. Step 2: Convert to fraction form
    1,258.85/1,744.55 = 1,241.22/x
  3. Step 3: Cross multiply
    1,258.85x = 1,744.55 × 1,241.22
  4. Step 4: Simplify right side
    1,258.85x = 2,165,364.14
  5. Step 5: Solve for x
    x = 2,165,364.14/1,258.85
  6. Step 6: Final answer
    x = 1,720.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.