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Finding the Fourth Proportional to 2,302.93, 3,454.21 and 659.41

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Solution

The fourth proportional to 2,302.93, 3,454.21 and 659.41 is: 989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.93 : 3,454.21 = 659.41 : x
  2. Step 2: Convert to fraction form
    2,302.93/3,454.21 = 659.41/x
  3. Step 3: Cross multiply
    2,302.93x = 3,454.21 × 659.41
  4. Step 4: Simplify right side
    2,302.93x = 2,277,732.80
  5. Step 5: Solve for x
    x = 2,277,732.80/2,302.93
  6. Step 6: Final answer
    x = 989.06

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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.