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Finding the Fourth Proportional to 1,172.67, 1,759.81 and 625.24

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Solution

The fourth proportional to 1,172.67, 1,759.81 and 625.24 is: 938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.67 : 1,759.81 = 625.24 : x
  2. Step 2: Convert to fraction form
    1,172.67/1,759.81 = 625.24/x
  3. Step 3: Cross multiply
    1,172.67x = 1,759.81 × 625.24
  4. Step 4: Simplify right side
    1,172.67x = 1,100,297.91
  5. Step 5: Solve for x
    x = 1,100,297.91/1,172.67
  6. Step 6: Final answer
    x = 938.28

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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.