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Finding the Fourth Proportional to 1,103.38, 1,522.86 and 637.62

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Solution

The fourth proportional to 1,103.38, 1,522.86 and 637.62 is: 880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.38 : 1,522.86 = 637.62 : x
  2. Step 2: Convert to fraction form
    1,103.38/1,522.86 = 637.62/x
  3. Step 3: Cross multiply
    1,103.38x = 1,522.86 × 637.62
  4. Step 4: Simplify right side
    1,103.38x = 971,005.99
  5. Step 5: Solve for x
    x = 971,005.99/1,103.38
  6. Step 6: Final answer
    x = 880.03

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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.