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Finding the Fourth Proportional to 942.80, 1,300.80 and 611.42

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Solution

The fourth proportional to 942.80, 1,300.80 and 611.42 is: 843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.80 : 1,300.80 = 611.42 : x
  2. Step 2: Convert to fraction form
    942.80/1,300.80 = 611.42/x
  3. Step 3: Cross multiply
    942.80x = 1,300.80 × 611.42
  4. Step 4: Simplify right side
    942.80x = 795,335.14
  5. Step 5: Solve for x
    x = 795,335.14/942.80
  6. Step 6: Final answer
    x = 843.59

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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.