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Finding the Fourth Proportional to 1,977.43, 2,966.15 and 516.58

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Solution

The fourth proportional to 1,977.43, 2,966.15 and 516.58 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.43 : 2,966.15 = 516.58 : x
  2. Step 2: Convert to fraction form
    1,977.43/2,966.15 = 516.58/x
  3. Step 3: Cross multiply
    1,977.43x = 2,966.15 × 516.58
  4. Step 4: Simplify right side
    1,977.43x = 1,532,253.77
  5. Step 5: Solve for x
    x = 1,532,253.77/1,977.43
  6. Step 6: Final answer
    x = 774.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.