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Finding the Fourth Proportional to 1,241.14, 1,858.42 and 720.67

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Solution

The fourth proportional to 1,241.14, 1,858.42 and 720.67 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.14 : 1,858.42 = 720.67 : x
  2. Step 2: Convert to fraction form
    1,241.14/1,858.42 = 720.67/x
  3. Step 3: Cross multiply
    1,241.14x = 1,858.42 × 720.67
  4. Step 4: Simplify right side
    1,241.14x = 1,339,307.54
  5. Step 5: Solve for x
    x = 1,339,307.54/1,241.14
  6. Step 6: Final answer
    x = 1,079.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.