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Finding the Fourth Proportional to 1,396.21, 1,926.77 and 775.21

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Solution

The fourth proportional to 1,396.21, 1,926.77 and 775.21 is: 1,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.21 : 1,926.77 = 775.21 : x
  2. Step 2: Convert to fraction form
    1,396.21/1,926.77 = 775.21/x
  3. Step 3: Cross multiply
    1,396.21x = 1,926.77 × 775.21
  4. Step 4: Simplify right side
    1,396.21x = 1,493,637.86
  5. Step 5: Solve for x
    x = 1,493,637.86/1,396.21
  6. Step 6: Final answer
    x = 1,069.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.