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Finding the Fourth Proportional to 2,302.90, 3,454 and 659.52

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Solution

The fourth proportional to 2,302.90, 3,454 and 659.52 is: 989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.90 : 3,454 = 659.52 : x
  2. Step 2: Convert to fraction form
    2,302.90/3,454 = 659.52/x
  3. Step 3: Cross multiply
    2,302.90x = 3,454 × 659.52
  4. Step 4: Simplify right side
    2,302.90x = 2,277,982.08
  5. Step 5: Solve for x
    x = 2,277,982.08/2,302.90
  6. Step 6: Final answer
    x = 989.18

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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.