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Finding the Fourth Proportional to 2,438.33, 3,657.02 and 659.39

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Solution

The fourth proportional to 2,438.33, 3,657.02 and 659.39 is: 988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.33 : 3,657.02 = 659.39 : x
  2. Step 2: Convert to fraction form
    2,438.33/3,657.02 = 659.39/x
  3. Step 3: Cross multiply
    2,438.33x = 3,657.02 × 659.39
  4. Step 4: Simplify right side
    2,438.33x = 2,411,380.84
  5. Step 5: Solve for x
    x = 2,411,380.84/2,438.33
  6. Step 6: Final answer
    x = 988.95

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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.