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Finding the Fourth Proportional to 1,852.89, 2,778.67 and 620.02

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Solution

The fourth proportional to 1,852.89, 2,778.67 and 620.02 is: 929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.89 : 2,778.67 = 620.02 : x
  2. Step 2: Convert to fraction form
    1,852.89/2,778.67 = 620.02/x
  3. Step 3: Cross multiply
    1,852.89x = 2,778.67 × 620.02
  4. Step 4: Simplify right side
    1,852.89x = 1,722,830.97
  5. Step 5: Solve for x
    x = 1,722,830.97/1,852.89
  6. Step 6: Final answer
    x = 929.81

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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.