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Finding the Fourth Proportional to 1,309.14, 1,806.30 and 785.34

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Solution

The fourth proportional to 1,309.14, 1,806.30 and 785.34 is: 1,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.14 : 1,806.30 = 785.34 : x
  2. Step 2: Convert to fraction form
    1,309.14/1,806.30 = 785.34/x
  3. Step 3: Cross multiply
    1,309.14x = 1,806.30 × 785.34
  4. Step 4: Simplify right side
    1,309.14x = 1,418,559.64
  5. Step 5: Solve for x
    x = 1,418,559.64/1,309.14
  6. Step 6: Final answer
    x = 1,083.58

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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.