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Finding the Fourth Proportional to 2,045.74, 3,069.12 and 659.20

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Solution

The fourth proportional to 2,045.74, 3,069.12 and 659.20 is: 988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.74 : 3,069.12 = 659.20 : x
  2. Step 2: Convert to fraction form
    2,045.74/3,069.12 = 659.20/x
  3. Step 3: Cross multiply
    2,045.74x = 3,069.12 × 659.20
  4. Step 4: Simplify right side
    2,045.74x = 2,023,163.90
  5. Step 5: Solve for x
    x = 2,023,163.90/2,045.74
  6. Step 6: Final answer
    x = 988.96

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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.