Home / 1,122.10-1,682.37-536.80

Finding the Fourth Proportional to 1,122.10, 1,682.37 and 536.80

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Solution

The fourth proportional to 1,122.10, 1,682.37 and 536.80 is: 804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.10 : 1,682.37 = 536.80 : x
  2. Step 2: Convert to fraction form
    1,122.10/1,682.37 = 536.80/x
  3. Step 3: Cross multiply
    1,122.10x = 1,682.37 × 536.80
  4. Step 4: Simplify right side
    1,122.10x = 903,096.22
  5. Step 5: Solve for x
    x = 903,096.22/1,122.10
  6. Step 6: Final answer
    x = 804.83

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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.