Home / 1,284.26-1,926.21-359.67

Finding the Fourth Proportional to 1,284.26, 1,926.21 and 359.67

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Solution

The fourth proportional to 1,284.26, 1,926.21 and 359.67 is: 539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.26 : 1,926.21 = 359.67 : x
  2. Step 2: Convert to fraction form
    1,284.26/1,926.21 = 359.67/x
  3. Step 3: Cross multiply
    1,284.26x = 1,926.21 × 359.67
  4. Step 4: Simplify right side
    1,284.26x = 692,808.52
  5. Step 5: Solve for x
    x = 692,808.52/1,284.26
  6. Step 6: Final answer
    x = 539.46

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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.