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Finding the Fourth Proportional to 1,738.78, 2,608.53 and 584.50

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Solution

The fourth proportional to 1,738.78, 2,608.53 and 584.50 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.78 : 2,608.53 = 584.50 : x
  2. Step 2: Convert to fraction form
    1,738.78/2,608.53 = 584.50/x
  3. Step 3: Cross multiply
    1,738.78x = 2,608.53 × 584.50
  4. Step 4: Simplify right side
    1,738.78x = 1,524,685.79
  5. Step 5: Solve for x
    x = 1,524,685.79/1,738.78
  6. Step 6: Final answer
    x = 876.87

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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.