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Finding the Fourth Proportional to 1,158.99, 1,738.30 and 378.98

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Solution

The fourth proportional to 1,158.99, 1,738.30 and 378.98 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.99 : 1,738.30 = 378.98 : x
  2. Step 2: Convert to fraction form
    1,158.99/1,738.30 = 378.98/x
  3. Step 3: Cross multiply
    1,158.99x = 1,738.30 × 378.98
  4. Step 4: Simplify right side
    1,158.99x = 658,783.41
  5. Step 5: Solve for x
    x = 658,783.41/1,158.99
  6. Step 6: Final answer
    x = 568.41

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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.