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Finding the Fourth Proportional to 1,682.69, 2,523.74 and 450.17

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Solution

The fourth proportional to 1,682.69, 2,523.74 and 450.17 is: 675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.69 : 2,523.74 = 450.17 : x
  2. Step 2: Convert to fraction form
    1,682.69/2,523.74 = 450.17/x
  3. Step 3: Cross multiply
    1,682.69x = 2,523.74 × 450.17
  4. Step 4: Simplify right side
    1,682.69x = 1,136,106.63
  5. Step 5: Solve for x
    x = 1,136,106.63/1,682.69
  6. Step 6: Final answer
    x = 675.17

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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.