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Finding the Fourth Proportional to 1,140.13, 1,709.51 and 445.97

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Solution

The fourth proportional to 1,140.13, 1,709.51 and 445.97 is: 668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.13 : 1,709.51 = 445.97 : x
  2. Step 2: Convert to fraction form
    1,140.13/1,709.51 = 445.97/x
  3. Step 3: Cross multiply
    1,140.13x = 1,709.51 × 445.97
  4. Step 4: Simplify right side
    1,140.13x = 762,395.56
  5. Step 5: Solve for x
    x = 762,395.56/1,140.13
  6. Step 6: Final answer
    x = 668.69

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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.