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Finding the Fourth Proportional to 1,158.88, 1,738.21 and 603.60

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Solution

The fourth proportional to 1,158.88, 1,738.21 and 603.60 is: 905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.88 : 1,738.21 = 603.60 : x
  2. Step 2: Convert to fraction form
    1,158.88/1,738.21 = 603.60/x
  3. Step 3: Cross multiply
    1,158.88x = 1,738.21 × 603.60
  4. Step 4: Simplify right side
    1,158.88x = 1,049,183.56
  5. Step 5: Solve for x
    x = 1,049,183.56/1,158.88
  6. Step 6: Final answer
    x = 905.34

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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.