Home / 1,284.20-1,771.62-869.48

Finding the Fourth Proportional to 1,284.20, 1,771.62 and 869.48

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Solution

The fourth proportional to 1,284.20, 1,771.62 and 869.48 is: 1,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.20 : 1,771.62 = 869.48 : x
  2. Step 2: Convert to fraction form
    1,284.20/1,771.62 = 869.48/x
  3. Step 3: Cross multiply
    1,284.20x = 1,771.62 × 869.48
  4. Step 4: Simplify right side
    1,284.20x = 1,540,388.16
  5. Step 5: Solve for x
    x = 1,540,388.16/1,284.20
  6. Step 6: Final answer
    x = 1,199.49

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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.