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Finding the Fourth Proportional to 1,611.77, 2,417.96 and 516.41

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Solution

The fourth proportional to 1,611.77, 2,417.96 and 516.41 is: 774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.77 : 2,417.96 = 516.41 : x
  2. Step 2: Convert to fraction form
    1,611.77/2,417.96 = 516.41/x
  3. Step 3: Cross multiply
    1,611.77x = 2,417.96 × 516.41
  4. Step 4: Simplify right side
    1,611.77x = 1,248,658.72
  5. Step 5: Solve for x
    x = 1,248,658.72/1,611.77
  6. Step 6: Final answer
    x = 774.71

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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.