Home / 1,352.19-2,028.57-428.01

Finding the Fourth Proportional to 1,352.19, 2,028.57 and 428.01

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Solution

The fourth proportional to 1,352.19, 2,028.57 and 428.01 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.19 : 2,028.57 = 428.01 : x
  2. Step 2: Convert to fraction form
    1,352.19/2,028.57 = 428.01/x
  3. Step 3: Cross multiply
    1,352.19x = 2,028.57 × 428.01
  4. Step 4: Simplify right side
    1,352.19x = 868,248.25
  5. Step 5: Solve for x
    x = 868,248.25/1,352.19
  6. Step 6: Final answer
    x = 642.11

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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.