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Finding the Fourth Proportional to 2,302.74, 3,453.78 and 659.40

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Solution

The fourth proportional to 2,302.74, 3,453.78 and 659.40 is: 989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.74 : 3,453.78 = 659.40 : x
  2. Step 2: Convert to fraction form
    2,302.74/3,453.78 = 659.40/x
  3. Step 3: Cross multiply
    2,302.74x = 3,453.78 × 659.40
  4. Step 4: Simplify right side
    2,302.74x = 2,277,422.53
  5. Step 5: Solve for x
    x = 2,277,422.53/2,302.74
  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.