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Finding the Fourth Proportional to 1,688.85, 2,533.09 and 799.16

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Solution

The fourth proportional to 1,688.85, 2,533.09 and 799.16 is: 1,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.85 : 2,533.09 = 799.16 : x
  2. Step 2: Convert to fraction form
    1,688.85/2,533.09 = 799.16/x
  3. Step 3: Cross multiply
    1,688.85x = 2,533.09 × 799.16
  4. Step 4: Simplify right side
    1,688.85x = 2,024,348.54
  5. Step 5: Solve for x
    x = 2,024,348.54/1,688.85
  6. Step 6: Final answer
    x = 1,198.66

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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.