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Finding the Fourth Proportional to 1,299.04, 1,958.12 and 1,223.76

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Solution

The fourth proportional to 1,299.04, 1,958.12 and 1,223.76 is: 1,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.04 : 1,958.12 = 1,223.76 : x
  2. Step 2: Convert to fraction form
    1,299.04/1,958.12 = 1,223.76/x
  3. Step 3: Cross multiply
    1,299.04x = 1,958.12 × 1,223.76
  4. Step 4: Simplify right side
    1,299.04x = 2,396,268.93
  5. Step 5: Solve for x
    x = 2,396,268.93/1,299.04
  6. Step 6: Final answer
    x = 1,844.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.