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Finding the Fourth Proportional to 1,284.83, 1,773.21 and 842.99

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Solution

The fourth proportional to 1,284.83, 1,773.21 and 842.99 is: 1,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.83 : 1,773.21 = 842.99 : x
  2. Step 2: Convert to fraction form
    1,284.83/1,773.21 = 842.99/x
  3. Step 3: Cross multiply
    1,284.83x = 1,773.21 × 842.99
  4. Step 4: Simplify right side
    1,284.83x = 1,494,798.30
  5. Step 5: Solve for x
    x = 1,494,798.30/1,284.83
  6. Step 6: Final answer
    x = 1,163.42

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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.