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Finding the Fourth Proportional to 2,065.33, 3,098.07 and 678.70

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Solution

The fourth proportional to 2,065.33, 3,098.07 and 678.70 is: 1,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.33 : 3,098.07 = 678.70 : x
  2. Step 2: Convert to fraction form
    2,065.33/3,098.07 = 678.70/x
  3. Step 3: Cross multiply
    2,065.33x = 3,098.07 × 678.70
  4. Step 4: Simplify right side
    2,065.33x = 2,102,660.11
  5. Step 5: Solve for x
    x = 2,102,660.11/2,065.33
  6. Step 6: Final answer
    x = 1,018.07

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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.