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Finding the Fourth Proportional to 1,977.95, 2,966.60 and 661.69

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Solution

The fourth proportional to 1,977.95, 2,966.60 and 661.69 is: 992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.95 : 2,966.60 = 661.69 : x
  2. Step 2: Convert to fraction form
    1,977.95/2,966.60 = 661.69/x
  3. Step 3: Cross multiply
    1,977.95x = 2,966.60 × 661.69
  4. Step 4: Simplify right side
    1,977.95x = 1,962,954.72
  5. Step 5: Solve for x
    x = 1,962,954.72/1,977.95
  6. Step 6: Final answer
    x = 992.42

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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.