Home / 1,022.77-1,525.73-945.33

Finding the Fourth Proportional to 1,022.77, 1,525.73 and 945.33

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Solution

The fourth proportional to 1,022.77, 1,525.73 and 945.33 is: 1,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.77 : 1,525.73 = 945.33 : x
  2. Step 2: Convert to fraction form
    1,022.77/1,525.73 = 945.33/x
  3. Step 3: Cross multiply
    1,022.77x = 1,525.73 × 945.33
  4. Step 4: Simplify right side
    1,022.77x = 1,442,318.34
  5. Step 5: Solve for x
    x = 1,442,318.34/1,022.77
  6. Step 6: Final answer
    x = 1,410.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.