Home / 1,211.23-1,816.68-431.20

Finding the Fourth Proportional to 1,211.23, 1,816.68 and 431.20

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Solution

The fourth proportional to 1,211.23, 1,816.68 and 431.20 is: 646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.23 : 1,816.68 = 431.20 : x
  2. Step 2: Convert to fraction form
    1,211.23/1,816.68 = 431.20/x
  3. Step 3: Cross multiply
    1,211.23x = 1,816.68 × 431.20
  4. Step 4: Simplify right side
    1,211.23x = 783,343.33
  5. Step 5: Solve for x
    x = 783,343.33/1,211.23
  6. Step 6: Final answer
    x = 646.74

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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.