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Finding the Fourth Proportional to 1,069.10, 1,604.61 and 794.34

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Solution

The fourth proportional to 1,069.10, 1,604.61 and 794.34 is: 1,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.10 : 1,604.61 = 794.34 : x
  2. Step 2: Convert to fraction form
    1,069.10/1,604.61 = 794.34/x
  3. Step 3: Cross multiply
    1,069.10x = 1,604.61 × 794.34
  4. Step 4: Simplify right side
    1,069.10x = 1,274,605.91
  5. Step 5: Solve for x
    x = 1,274,605.91/1,069.10
  6. Step 6: Final answer
    x = 1,192.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.