Home / 1,022.18-1,409.79-668.08

Finding the Fourth Proportional to 1,022.18, 1,409.79 and 668.08

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Solution

The fourth proportional to 1,022.18, 1,409.79 and 668.08 is: 921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,409.79 = 668.08 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,409.79 = 668.08/x
  3. Step 3: Cross multiply
    1,022.18x = 1,409.79 × 668.08
  4. Step 4: Simplify right side
    1,022.18x = 941,848.98
  5. Step 5: Solve for x
    x = 941,848.98/1,022.18
  6. Step 6: Final answer
    x = 921.41

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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.