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Finding the Fourth Proportional to 853.00, 1,176.80 and 629.47

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Solution

The fourth proportional to 853.00, 1,176.80 and 629.47 is: 868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.00 : 1,176.80 = 629.47 : x
  2. Step 2: Convert to fraction form
    853.00/1,176.80 = 629.47/x
  3. Step 3: Cross multiply
    853.00x = 1,176.80 × 629.47
  4. Step 4: Simplify right side
    853.00x = 740,754.41
  5. Step 5: Solve for x
    x = 740,754.41/853.00
  6. Step 6: Final answer
    x = 868.42

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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.