Home / 1,352.13-2,028.16-378.20

Finding the Fourth Proportional to 1,352.13, 2,028.16 and 378.20

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Solution

The fourth proportional to 1,352.13, 2,028.16 and 378.20 is: 567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.13 : 2,028.16 = 378.20 : x
  2. Step 2: Convert to fraction form
    1,352.13/2,028.16 = 378.20/x
  3. Step 3: Cross multiply
    1,352.13x = 2,028.16 × 378.20
  4. Step 4: Simplify right side
    1,352.13x = 767,053.53
  5. Step 5: Solve for x
    x = 767,053.53/1,352.13
  6. Step 6: Final answer
    x = 567.29

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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.