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Finding the Fourth Proportional to 1,448.22, 2,171.03 and 523.57

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Solution

The fourth proportional to 1,448.22, 2,171.03 and 523.57 is: 784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.22 : 2,171.03 = 523.57 : x
  2. Step 2: Convert to fraction form
    1,448.22/2,171.03 = 523.57/x
  3. Step 3: Cross multiply
    1,448.22x = 2,171.03 × 523.57
  4. Step 4: Simplify right side
    1,448.22x = 1,136,686.18
  5. Step 5: Solve for x
    x = 1,136,686.18/1,448.22
  6. Step 6: Final answer
    x = 784.89

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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.