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Finding the Fourth Proportional to 1,977.45, 2,965.49 and 678.62

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Solution

The fourth proportional to 1,977.45, 2,965.49 and 678.62 is: 1,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.45 : 2,965.49 = 678.62 : x
  2. Step 2: Convert to fraction form
    1,977.45/2,965.49 = 678.62/x
  3. Step 3: Cross multiply
    1,977.45x = 2,965.49 × 678.62
  4. Step 4: Simplify right side
    1,977.45x = 2,012,422.60
  5. Step 5: Solve for x
    x = 2,012,422.60/1,977.45
  6. Step 6: Final answer
    x = 1,017.69

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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.