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Finding the Fourth Proportional to 786.14, 1,080.34 and 764.28

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Solution

The fourth proportional to 786.14, 1,080.34 and 764.28 is: 1,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.14 : 1,080.34 = 764.28 : x
  2. Step 2: Convert to fraction form
    786.14/1,080.34 = 764.28/x
  3. Step 3: Cross multiply
    786.14x = 1,080.34 × 764.28
  4. Step 4: Simplify right side
    786.14x = 825,682.26
  5. Step 5: Solve for x
    x = 825,682.26/786.14
  6. Step 6: Final answer
    x = 1,050.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.