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Finding the Fourth Proportional to 1,790.50, 2,686.84 and 764.50

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Solution

The fourth proportional to 1,790.50, 2,686.84 and 764.50 is: 1,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.50 : 2,686.84 = 764.50 : x
  2. Step 2: Convert to fraction form
    1,790.50/2,686.84 = 764.50/x
  3. Step 3: Cross multiply
    1,790.50x = 2,686.84 × 764.50
  4. Step 4: Simplify right side
    1,790.50x = 2,054,089.18
  5. Step 5: Solve for x
    x = 2,054,089.18/1,790.50
  6. Step 6: Final answer
    x = 1,147.22

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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.