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Finding the Fourth Proportional to 1,257.96, 1,736.85 and 786.06

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Solution

The fourth proportional to 1,257.96, 1,736.85 and 786.06 is: 1,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.96 : 1,736.85 = 786.06 : x
  2. Step 2: Convert to fraction form
    1,257.96/1,736.85 = 786.06/x
  3. Step 3: Cross multiply
    1,257.96x = 1,736.85 × 786.06
  4. Step 4: Simplify right side
    1,257.96x = 1,365,268.31
  5. Step 5: Solve for x
    x = 1,365,268.31/1,257.96
  6. Step 6: Final answer
    x = 1,085.30

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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.