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Finding the Fourth Proportional to 2,045.88, 3,069.32 and 659.22

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Solution

The fourth proportional to 2,045.88, 3,069.32 and 659.22 is: 988.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.88 : 3,069.32 = 659.22 : x
  2. Step 2: Convert to fraction form
    2,045.88/3,069.32 = 659.22/x
  3. Step 3: Cross multiply
    2,045.88x = 3,069.32 × 659.22
  4. Step 4: Simplify right side
    2,045.88x = 2,023,357.13
  5. Step 5: Solve for x
    x = 2,023,357.13/2,045.88
  6. Step 6: Final answer
    x = 988.99

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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.