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Finding the Fourth Proportional to 1,188.26, 1,782.36 and 538.56

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Solution

The fourth proportional to 1,188.26, 1,782.36 and 538.56 is: 807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.26 : 1,782.36 = 538.56 : x
  2. Step 2: Convert to fraction form
    1,188.26/1,782.36 = 538.56/x
  3. Step 3: Cross multiply
    1,188.26x = 1,782.36 × 538.56
  4. Step 4: Simplify right side
    1,188.26x = 959,907.80
  5. Step 5: Solve for x
    x = 959,907.80/1,188.26
  6. Step 6: Final answer
    x = 807.83

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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.