Home / 1,284.16-1,771.68-819.20

Finding the Fourth Proportional to 1,284.16, 1,771.68 and 819.20

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Solution

The fourth proportional to 1,284.16, 1,771.68 and 819.20 is: 1,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.16 : 1,771.68 = 819.20 : x
  2. Step 2: Convert to fraction form
    1,284.16/1,771.68 = 819.20/x
  3. Step 3: Cross multiply
    1,284.16x = 1,771.68 × 819.20
  4. Step 4: Simplify right side
    1,284.16x = 1,451,360.26
  5. Step 5: Solve for x
    x = 1,451,360.26/1,284.16
  6. Step 6: Final answer
    x = 1,130.20

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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.