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Finding the Fourth Proportional to 1,305.59, 1,956.99 and 940.17

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Solution

The fourth proportional to 1,305.59, 1,956.99 and 940.17 is: 1,409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.59 : 1,956.99 = 940.17 : x
  2. Step 2: Convert to fraction form
    1,305.59/1,956.99 = 940.17/x
  3. Step 3: Cross multiply
    1,305.59x = 1,956.99 × 940.17
  4. Step 4: Simplify right side
    1,305.59x = 1,839,914.15
  5. Step 5: Solve for x
    x = 1,839,914.15/1,305.59
  6. Step 6: Final answer
    x = 1,409.26

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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.