Home / 1,104.20-1,522.07-824.44

Finding the Fourth Proportional to 1,104.20, 1,522.07 and 824.44

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Solution

The fourth proportional to 1,104.20, 1,522.07 and 824.44 is: 1,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.20 : 1,522.07 = 824.44 : x
  2. Step 2: Convert to fraction form
    1,104.20/1,522.07 = 824.44/x
  3. Step 3: Cross multiply
    1,104.20x = 1,522.07 × 824.44
  4. Step 4: Simplify right side
    1,104.20x = 1,254,855.39
  5. Step 5: Solve for x
    x = 1,254,855.39/1,104.20
  6. Step 6: Final answer
    x = 1,136.44

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1.5x scale

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.