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Finding the Fourth Proportional to 1,738.86, 2,608.32 and 568.87

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Solution

The fourth proportional to 1,738.86, 2,608.32 and 568.87 is: 853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.86 : 2,608.32 = 568.87 : x
  2. Step 2: Convert to fraction form
    1,738.86/2,608.32 = 568.87/x
  3. Step 3: Cross multiply
    1,738.86x = 2,608.32 × 568.87
  4. Step 4: Simplify right side
    1,738.86x = 1,483,790.61
  5. Step 5: Solve for x
    x = 1,483,790.61/1,738.86
  6. Step 6: Final answer
    x = 853.31

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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.