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Finding the Fourth Proportional to 1,022.76, 1,411.34 and 629.79

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Solution

The fourth proportional to 1,022.76, 1,411.34 and 629.79 is: 869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.76 : 1,411.34 = 629.79 : x
  2. Step 2: Convert to fraction form
    1,022.76/1,411.34 = 629.79/x
  3. Step 3: Cross multiply
    1,022.76x = 1,411.34 × 629.79
  4. Step 4: Simplify right side
    1,022.76x = 888,844.67
  5. Step 5: Solve for x
    x = 888,844.67/1,022.76
  6. Step 6: Final answer
    x = 869.06

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1.5x scale

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.