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Finding the Fourth Proportional to 1,201.99, 1,659.40 and 830.96

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Solution

The fourth proportional to 1,201.99, 1,659.40 and 830.96 is: 1,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.99 : 1,659.40 = 830.96 : x
  2. Step 2: Convert to fraction form
    1,201.99/1,659.40 = 830.96/x
  3. Step 3: Cross multiply
    1,201.99x = 1,659.40 × 830.96
  4. Step 4: Simplify right side
    1,201.99x = 1,378,895.02
  5. Step 5: Solve for x
    x = 1,378,895.02/1,201.99
  6. Step 6: Final answer
    x = 1,147.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.