Home / 1,401.62-2,102.16-414.23

Finding the Fourth Proportional to 1,401.62, 2,102.16 and 414.23

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Solution

The fourth proportional to 1,401.62, 2,102.16 and 414.23 is: 621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.62 : 2,102.16 = 414.23 : x
  2. Step 2: Convert to fraction form
    1,401.62/2,102.16 = 414.23/x
  3. Step 3: Cross multiply
    1,401.62x = 2,102.16 × 414.23
  4. Step 4: Simplify right side
    1,401.62x = 870,767.23
  5. Step 5: Solve for x
    x = 870,767.23/1,401.62
  6. Step 6: Final answer
    x = 621.26

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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.