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Finding the Fourth Proportional to 1,158.79, 1,738.09 and 378.56

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Solution

The fourth proportional to 1,158.79, 1,738.09 and 378.56 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.79 : 1,738.09 = 378.56 : x
  2. Step 2: Convert to fraction form
    1,158.79/1,738.09 = 378.56/x
  3. Step 3: Cross multiply
    1,158.79x = 1,738.09 × 378.56
  4. Step 4: Simplify right side
    1,158.79x = 657,971.35
  5. Step 5: Solve for x
    x = 657,971.35/1,158.79
  6. Step 6: Final answer
    x = 567.81

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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.