Home / 1,214.14-1,821.55-484.23

Finding the Fourth Proportional to 1,214.14, 1,821.55 and 484.23

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Solution

The fourth proportional to 1,214.14, 1,821.55 and 484.23 is: 726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.14 : 1,821.55 = 484.23 : x
  2. Step 2: Convert to fraction form
    1,214.14/1,821.55 = 484.23/x
  3. Step 3: Cross multiply
    1,214.14x = 1,821.55 × 484.23
  4. Step 4: Simplify right side
    1,214.14x = 882,049.16
  5. Step 5: Solve for x
    x = 882,049.16/1,214.14
  6. Step 6: Final answer
    x = 726.48

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1.5x scale

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.