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Finding the Fourth Proportional to 853.49, 1,177.98 and 643.37

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Solution

The fourth proportional to 853.49, 1,177.98 and 643.37 is: 887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.49 : 1,177.98 = 643.37 : x
  2. Step 2: Convert to fraction form
    853.49/1,177.98 = 643.37/x
  3. Step 3: Cross multiply
    853.49x = 1,177.98 × 643.37
  4. Step 4: Simplify right side
    853.49x = 757,868.69
  5. Step 5: Solve for x
    x = 757,868.69/853.49
  6. Step 6: Final answer
    x = 887.96

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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.