Home / 1,022.30-1,409.22-649.20

Finding the Fourth Proportional to 1,022.30, 1,409.22 and 649.20

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Solution

The fourth proportional to 1,022.30, 1,409.22 and 649.20 is: 894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.30 : 1,409.22 = 649.20 : x
  2. Step 2: Convert to fraction form
    1,022.30/1,409.22 = 649.20/x
  3. Step 3: Cross multiply
    1,022.30x = 1,409.22 × 649.20
  4. Step 4: Simplify right side
    1,022.30x = 914,865.62
  5. Step 5: Solve for x
    x = 914,865.62/1,022.30
  6. Step 6: Final answer
    x = 894.91

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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.