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Finding the Fourth Proportional to 853.49, 1,178.40 and 653.97

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Solution

The fourth proportional to 853.49, 1,178.40 and 653.97 is: 902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.49 : 1,178.40 = 653.97 : x
  2. Step 2: Convert to fraction form
    853.49/1,178.40 = 653.97/x
  3. Step 3: Cross multiply
    853.49x = 1,178.40 × 653.97
  4. Step 4: Simplify right side
    853.49x = 770,638.25
  5. Step 5: Solve for x
    x = 770,638.25/853.49
  6. Step 6: Final answer
    x = 902.93

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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.