Home / 1,028.70-1,541.67-378.78

Finding the Fourth Proportional to 1,028.70, 1,541.67 and 378.78

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Solution

The fourth proportional to 1,028.70, 1,541.67 and 378.78 is: 567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.70 : 1,541.67 = 378.78 : x
  2. Step 2: Convert to fraction form
    1,028.70/1,541.67 = 378.78/x
  3. Step 3: Cross multiply
    1,028.70x = 1,541.67 × 378.78
  4. Step 4: Simplify right side
    1,028.70x = 583,953.76
  5. Step 5: Solve for x
    x = 583,953.76/1,028.70
  6. Step 6: Final answer
    x = 567.66

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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.