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Finding the Fourth Proportional to 1,977.67, 2,966.25 and 516.94

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Solution

The fourth proportional to 1,977.67, 2,966.25 and 516.94 is: 775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.67 : 2,966.25 = 516.94 : x
  2. Step 2: Convert to fraction form
    1,977.67/2,966.25 = 516.94/x
  3. Step 3: Cross multiply
    1,977.67x = 2,966.25 × 516.94
  4. Step 4: Simplify right side
    1,977.67x = 1,533,373.28
  5. Step 5: Solve for x
    x = 1,533,373.28/1,977.67
  6. Step 6: Final answer
    x = 775.34

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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.