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Finding the Fourth Proportional to 1,022.78, 1,411.91 and 687.24

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Solution

The fourth proportional to 1,022.78, 1,411.91 and 687.24 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.78 : 1,411.91 = 687.24 : x
  2. Step 2: Convert to fraction form
    1,022.78/1,411.91 = 687.24/x
  3. Step 3: Cross multiply
    1,022.78x = 1,411.91 × 687.24
  4. Step 4: Simplify right side
    1,022.78x = 970,317.59
  5. Step 5: Solve for x
    x = 970,317.59/1,022.78
  6. Step 6: Final answer
    x = 948.71

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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.