Home / 1,022.46-1,411.22-649.15

Finding the Fourth Proportional to 1,022.46, 1,411.22 and 649.15

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Solution

The fourth proportional to 1,022.46, 1,411.22 and 649.15 is: 895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.46 : 1,411.22 = 649.15 : x
  2. Step 2: Convert to fraction form
    1,022.46/1,411.22 = 649.15/x
  3. Step 3: Cross multiply
    1,022.46x = 1,411.22 × 649.15
  4. Step 4: Simplify right side
    1,022.46x = 916,091.56
  5. Step 5: Solve for x
    x = 916,091.56/1,022.46
  6. Step 6: Final answer
    x = 895.97

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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.