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Finding the Fourth Proportional to 1,279.79, 1,766.99 and 943.73

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Solution

The fourth proportional to 1,279.79, 1,766.99 and 943.73 is: 1,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.79 : 1,766.99 = 943.73 : x
  2. Step 2: Convert to fraction form
    1,279.79/1,766.99 = 943.73/x
  3. Step 3: Cross multiply
    1,279.79x = 1,766.99 × 943.73
  4. Step 4: Simplify right side
    1,279.79x = 1,667,566.25
  5. Step 5: Solve for x
    x = 1,667,566.25/1,279.79
  6. Step 6: Final answer
    x = 1,303.00

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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.