Home / 1,284.51-1,764.91-1,022.07

Finding the Fourth Proportional to 1,284.51, 1,764.91 and 1,022.07

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Solution

The fourth proportional to 1,284.51, 1,764.91 and 1,022.07 is: 1,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.51 : 1,764.91 = 1,022.07 : x
  2. Step 2: Convert to fraction form
    1,284.51/1,764.91 = 1,022.07/x
  3. Step 3: Cross multiply
    1,284.51x = 1,764.91 × 1,022.07
  4. Step 4: Simplify right side
    1,284.51x = 1,803,861.56
  5. Step 5: Solve for x
    x = 1,803,861.56/1,284.51
  6. Step 6: Final answer
    x = 1,404.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.