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Finding the Fourth Proportional to 1,305.99, 1,806.27 and 1,284.12

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Solution

The fourth proportional to 1,305.99, 1,806.27 and 1,284.12 is: 1,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.99 : 1,806.27 = 1,284.12 : x
  2. Step 2: Convert to fraction form
    1,305.99/1,806.27 = 1,284.12/x
  3. Step 3: Cross multiply
    1,305.99x = 1,806.27 × 1,284.12
  4. Step 4: Simplify right side
    1,305.99x = 2,319,467.43
  5. Step 5: Solve for x
    x = 2,319,467.43/1,305.99
  6. Step 6: Final answer
    x = 1,776.02

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1.5x scale

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.