Home / 1,284.44-1,926.18-462.49

Finding the Fourth Proportional to 1,284.44, 1,926.18 and 462.49

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Solution

The fourth proportional to 1,284.44, 1,926.18 and 462.49 is: 693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.44 : 1,926.18 = 462.49 : x
  2. Step 2: Convert to fraction form
    1,284.44/1,926.18 = 462.49/x
  3. Step 3: Cross multiply
    1,284.44x = 1,926.18 × 462.49
  4. Step 4: Simplify right side
    1,284.44x = 890,834.17
  5. Step 5: Solve for x
    x = 890,834.17/1,284.44
  6. Step 6: Final answer
    x = 693.56

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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.