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Finding the Fourth Proportional to 1,977.65, 2,966.78 and 678.81

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Solution

The fourth proportional to 1,977.65, 2,966.78 and 678.81 is: 1,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.65 : 2,966.78 = 678.81 : x
  2. Step 2: Convert to fraction form
    1,977.65/2,966.78 = 678.81/x
  3. Step 3: Cross multiply
    1,977.65x = 2,966.78 × 678.81
  4. Step 4: Simplify right side
    1,977.65x = 2,013,879.93
  5. Step 5: Solve for x
    x = 2,013,879.93/1,977.65
  6. Step 6: Final answer
    x = 1,018.32

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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.