Home / 1,022.15-1,410.81-668.59

Finding the Fourth Proportional to 1,022.15, 1,410.81 and 668.59

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Solution

The fourth proportional to 1,022.15, 1,410.81 and 668.59 is: 922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.15 : 1,410.81 = 668.59 : x
  2. Step 2: Convert to fraction form
    1,022.15/1,410.81 = 668.59/x
  3. Step 3: Cross multiply
    1,022.15x = 1,410.81 × 668.59
  4. Step 4: Simplify right side
    1,022.15x = 943,253.46
  5. Step 5: Solve for x
    x = 943,253.46/1,022.15
  6. Step 6: Final answer
    x = 922.81

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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.