Home / 1,022.16-1,400.46-1,007.76

Finding the Fourth Proportional to 1,022.16, 1,400.46 and 1,007.76

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Solution

The fourth proportional to 1,022.16, 1,400.46 and 1,007.76 is: 1,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.16 : 1,400.46 = 1,007.76 : x
  2. Step 2: Convert to fraction form
    1,022.16/1,400.46 = 1,007.76/x
  3. Step 3: Cross multiply
    1,022.16x = 1,400.46 × 1,007.76
  4. Step 4: Simplify right side
    1,022.16x = 1,411,327.57
  5. Step 5: Solve for x
    x = 1,411,327.57/1,022.16
  6. Step 6: Final answer
    x = 1,380.73

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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.