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Finding the Fourth Proportional to 2,199.95, 3,299.93 and 556.37

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Solution

The fourth proportional to 2,199.95, 3,299.93 and 556.37 is: 834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.95 : 3,299.93 = 556.37 : x
  2. Step 2: Convert to fraction form
    2,199.95/3,299.93 = 556.37/x
  3. Step 3: Cross multiply
    2,199.95x = 3,299.93 × 556.37
  4. Step 4: Simplify right side
    2,199.95x = 1,835,978.80
  5. Step 5: Solve for x
    x = 1,835,978.80/2,199.95
  6. Step 6: Final answer
    x = 834.55

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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.