Home / 1,468.44-2,202.08-428.13

Finding the Fourth Proportional to 1,468.44, 2,202.08 and 428.13

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Solution

The fourth proportional to 1,468.44, 2,202.08 and 428.13 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.44 : 2,202.08 = 428.13 : x
  2. Step 2: Convert to fraction form
    1,468.44/2,202.08 = 428.13/x
  3. Step 3: Cross multiply
    1,468.44x = 2,202.08 × 428.13
  4. Step 4: Simplify right side
    1,468.44x = 942,774.37
  5. Step 5: Solve for x
    x = 942,774.37/1,468.44
  6. Step 6: Final answer
    x = 642.02

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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.