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Finding the Fourth Proportional to 2,045.96, 3,069.05 and 659.19

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Solution

The fourth proportional to 2,045.96, 3,069.05 and 659.19 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.96 : 3,069.05 = 659.19 : x
  2. Step 2: Convert to fraction form
    2,045.96/3,069.05 = 659.19/x
  3. Step 3: Cross multiply
    2,045.96x = 3,069.05 × 659.19
  4. Step 4: Simplify right side
    2,045.96x = 2,023,087.07
  5. Step 5: Solve for x
    x = 2,023,087.07/2,045.96
  6. Step 6: Final answer
    x = 988.82

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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.