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Finding the Fourth Proportional to 1,309.25, 1,806.83 and 785.32

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Solution

The fourth proportional to 1,309.25, 1,806.83 and 785.32 is: 1,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.25 : 1,806.83 = 785.32 : x
  2. Step 2: Convert to fraction form
    1,309.25/1,806.83 = 785.32/x
  3. Step 3: Cross multiply
    1,309.25x = 1,806.83 × 785.32
  4. Step 4: Simplify right side
    1,309.25x = 1,418,939.74
  5. Step 5: Solve for x
    x = 1,418,939.74/1,309.25
  6. Step 6: Final answer
    x = 1,083.78

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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.