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Finding the Fourth Proportional to 1,804.58, 2,707.16 and 764.59

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Solution

The fourth proportional to 1,804.58, 2,707.16 and 764.59 is: 1,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.58 : 2,707.16 = 764.59 : x
  2. Step 2: Convert to fraction form
    1,804.58/2,707.16 = 764.59/x
  3. Step 3: Cross multiply
    1,804.58x = 2,707.16 × 764.59
  4. Step 4: Simplify right side
    1,804.58x = 2,069,863.64
  5. Step 5: Solve for x
    x = 2,069,863.64/1,804.58
  6. Step 6: Final answer
    x = 1,147.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.