Home / 1,158.90-1,738.74-378.94

Finding the Fourth Proportional to 1,158.90, 1,738.74 and 378.94

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Solution

The fourth proportional to 1,158.90, 1,738.74 and 378.94 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.90 : 1,738.74 = 378.94 : x
  2. Step 2: Convert to fraction form
    1,158.90/1,738.74 = 378.94/x
  3. Step 3: Cross multiply
    1,158.90x = 1,738.74 × 378.94
  4. Step 4: Simplify right side
    1,158.90x = 658,868.75
  5. Step 5: Solve for x
    x = 658,868.75/1,158.90
  6. Step 6: Final answer
    x = 568.53

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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.