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Finding the Fourth Proportional to 1,352.42, 2,028.80 and 378.53

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Solution

The fourth proportional to 1,352.42, 2,028.80 and 378.53 is: 567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.42 : 2,028.80 = 378.53 : x
  2. Step 2: Convert to fraction form
    1,352.42/2,028.80 = 378.53/x
  3. Step 3: Cross multiply
    1,352.42x = 2,028.80 × 378.53
  4. Step 4: Simplify right side
    1,352.42x = 767,949.63
  5. Step 5: Solve for x
    x = 767,949.63/1,352.42
  6. Step 6: Final answer
    x = 567.84

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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.