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Finding the Fourth Proportional to 2,430, 3,645 and 606

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Solution

The fourth proportional to 2,430, 3,645 and 606 is: 909

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430 : 3,645 = 606 : x
  2. Step 2: Convert to fraction form
    2,430/3,645 = 606/x
  3. Step 3: Cross multiply
    2,430x = 3,645 × 606
  4. Step 4: Simplify right side
    2,430x = 2,208,870
  5. Step 5: Solve for x
    x = 2,208,870/2,430
  6. Step 6: Final answer
    x = 909

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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.