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Finding the Fourth Proportional to 1,103.48, 1,522.50 and 683.63

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Solution

The fourth proportional to 1,103.48, 1,522.50 and 683.63 is: 943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.48 : 1,522.50 = 683.63 : x
  2. Step 2: Convert to fraction form
    1,103.48/1,522.50 = 683.63/x
  3. Step 3: Cross multiply
    1,103.48x = 1,522.50 × 683.63
  4. Step 4: Simplify right side
    1,103.48x = 1,040,826.68
  5. Step 5: Solve for x
    x = 1,040,826.68/1,103.48
  6. Step 6: Final answer
    x = 943.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.