Home / 1,022.31-1,411.06-629.66

Finding the Fourth Proportional to 1,022.31, 1,411.06 and 629.66

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Solution

The fourth proportional to 1,022.31, 1,411.06 and 629.66 is: 869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.31 : 1,411.06 = 629.66 : x
  2. Step 2: Convert to fraction form
    1,022.31/1,411.06 = 629.66/x
  3. Step 3: Cross multiply
    1,022.31x = 1,411.06 × 629.66
  4. Step 4: Simplify right side
    1,022.31x = 888,489.99
  5. Step 5: Solve for x
    x = 888,489.99/1,022.31
  6. Step 6: Final answer
    x = 869.10

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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.