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Finding the Fourth Proportional to 1,022.35, 1,409.94 and 798.34

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Solution

The fourth proportional to 1,022.35, 1,409.94 and 798.34 is: 1,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.35 : 1,409.94 = 798.34 : x
  2. Step 2: Convert to fraction form
    1,022.35/1,409.94 = 798.34/x
  3. Step 3: Cross multiply
    1,022.35x = 1,409.94 × 798.34
  4. Step 4: Simplify right side
    1,022.35x = 1,125,611.50
  5. Step 5: Solve for x
    x = 1,125,611.50/1,022.35
  6. Step 6: Final answer
    x = 1,101.00

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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.