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Finding the Fourth Proportional to 1,666, 2,499 and 450

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Solution

The fourth proportional to 1,666, 2,499 and 450 is: 675

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666 : 2,499 = 450 : x
  2. Step 2: Convert to fraction form
    1,666/2,499 = 450/x
  3. Step 3: Cross multiply
    1,666x = 2,499 × 450
  4. Step 4: Simplify right side
    1,666x = 1,124,550
  5. Step 5: Solve for x
    x = 1,124,550/1,666
  6. Step 6: Final answer
    x = 675

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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.