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Finding the Fourth Proportional to 1,022.44, 1,409.71 and 864.79

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Solution

The fourth proportional to 1,022.44, 1,409.71 and 864.79 is: 1,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.44 : 1,409.71 = 864.79 : x
  2. Step 2: Convert to fraction form
    1,022.44/1,409.71 = 864.79/x
  3. Step 3: Cross multiply
    1,022.44x = 1,409.71 × 864.79
  4. Step 4: Simplify right side
    1,022.44x = 1,219,103.11
  5. Step 5: Solve for x
    x = 1,219,103.11/1,022.44
  6. Step 6: Final answer
    x = 1,192.35

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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.