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Finding the Fourth Proportional to 1,188.41, 1,782.36 and 538.97

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Solution

The fourth proportional to 1,188.41, 1,782.36 and 538.97 is: 808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.41 : 1,782.36 = 538.97 : x
  2. Step 2: Convert to fraction form
    1,188.41/1,782.36 = 538.97/x
  3. Step 3: Cross multiply
    1,188.41x = 1,782.36 × 538.97
  4. Step 4: Simplify right side
    1,188.41x = 960,629.66
  5. Step 5: Solve for x
    x = 960,629.66/1,188.41
  6. Step 6: Final answer
    x = 808.34

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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.