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Finding the Fourth Proportional to 942.80, 1,300.62 and 611.33

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Solution

The fourth proportional to 942.80, 1,300.62 and 611.33 is: 843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.80 : 1,300.62 = 611.33 : x
  2. Step 2: Convert to fraction form
    942.80/1,300.62 = 611.33/x
  3. Step 3: Cross multiply
    942.80x = 1,300.62 × 611.33
  4. Step 4: Simplify right side
    942.80x = 795,111.28
  5. Step 5: Solve for x
    x = 795,111.28/942.80
  6. Step 6: Final answer
    x = 843.36

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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.