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Finding the Fourth Proportional to 1,294.30, 1,940.64 and 808.30

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Solution

The fourth proportional to 1,294.30, 1,940.64 and 808.30 is: 1,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.30 : 1,940.64 = 808.30 : x
  2. Step 2: Convert to fraction form
    1,294.30/1,940.64 = 808.30/x
  3. Step 3: Cross multiply
    1,294.30x = 1,940.64 × 808.30
  4. Step 4: Simplify right side
    1,294.30x = 1,568,619.31
  5. Step 5: Solve for x
    x = 1,568,619.31/1,294.30
  6. Step 6: Final answer
    x = 1,211.94

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1.5x scale

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.