Home / 1,468.16-2,202.28-428.28

Finding the Fourth Proportional to 1,468.16, 2,202.28 and 428.28

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Solution

The fourth proportional to 1,468.16, 2,202.28 and 428.28 is: 642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.16 : 2,202.28 = 428.28 : x
  2. Step 2: Convert to fraction form
    1,468.16/2,202.28 = 428.28/x
  3. Step 3: Cross multiply
    1,468.16x = 2,202.28 × 428.28
  4. Step 4: Simplify right side
    1,468.16x = 943,192.48
  5. Step 5: Solve for x
    x = 943,192.48/1,468.16
  6. Step 6: Final answer
    x = 642.43

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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.