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Finding the Fourth Proportional to 1,646.18, 2,467.86 and 768.22

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Solution

The fourth proportional to 1,646.18, 2,467.86 and 768.22 is: 1,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.18 : 2,467.86 = 768.22 : x
  2. Step 2: Convert to fraction form
    1,646.18/2,467.86 = 768.22/x
  3. Step 3: Cross multiply
    1,646.18x = 2,467.86 × 768.22
  4. Step 4: Simplify right side
    1,646.18x = 1,895,859.41
  5. Step 5: Solve for x
    x = 1,895,859.41/1,646.18
  6. Step 6: Final answer
    x = 1,151.67

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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.