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Finding the Fourth Proportional to 2,045.80, 3,069.18 and 659.24

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Solution

The fourth proportional to 2,045.80, 3,069.18 and 659.24 is: 989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.80 : 3,069.18 = 659.24 : x
  2. Step 2: Convert to fraction form
    2,045.80/3,069.18 = 659.24/x
  3. Step 3: Cross multiply
    2,045.80x = 3,069.18 × 659.24
  4. Step 4: Simplify right side
    2,045.80x = 2,023,326.22
  5. Step 5: Solve for x
    x = 2,023,326.22/2,045.80
  6. Step 6: Final answer
    x = 989.01

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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.