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Finding the Fourth Proportional to 941.44, 1,297.82 and 587.12

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Solution

The fourth proportional to 941.44, 1,297.82 and 587.12 is: 809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.44 : 1,297.82 = 587.12 : x
  2. Step 2: Convert to fraction form
    941.44/1,297.82 = 587.12/x
  3. Step 3: Cross multiply
    941.44x = 1,297.82 × 587.12
  4. Step 4: Simplify right side
    941.44x = 761,976.08
  5. Step 5: Solve for x
    x = 761,976.08/941.44
  6. Step 6: Final answer
    x = 809.37

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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.