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Finding the Fourth Proportional to 2,065.77, 3,097.91 and 678.80

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Solution

The fourth proportional to 2,065.77, 3,097.91 and 678.80 is: 1,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.77 : 3,097.91 = 678.80 : x
  2. Step 2: Convert to fraction form
    2,065.77/3,097.91 = 678.80/x
  3. Step 3: Cross multiply
    2,065.77x = 3,097.91 × 678.80
  4. Step 4: Simplify right side
    2,065.77x = 2,102,870.75
  5. Step 5: Solve for x
    x = 2,102,870.75/2,065.77
  6. Step 6: Final answer
    x = 1,017.96

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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.