Home / 1,468.12-2,202.24-428.23

Finding the Fourth Proportional to 1,468.12, 2,202.24 and 428.23

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Solution

The fourth proportional to 1,468.12, 2,202.24 and 428.23 is: 642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.12 : 2,202.24 = 428.23 : x
  2. Step 2: Convert to fraction form
    1,468.12/2,202.24 = 428.23/x
  3. Step 3: Cross multiply
    1,468.12x = 2,202.24 × 428.23
  4. Step 4: Simplify right side
    1,468.12x = 943,065.24
  5. Step 5: Solve for x
    x = 943,065.24/1,468.12
  6. Step 6: Final answer
    x = 642.36

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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.