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Finding the Fourth Proportional to 1,378.05, 1,902.08 and 853.79

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Solution

The fourth proportional to 1,378.05, 1,902.08 and 853.79 is: 1,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.05 : 1,902.08 = 853.79 : x
  2. Step 2: Convert to fraction form
    1,378.05/1,902.08 = 853.79/x
  3. Step 3: Cross multiply
    1,378.05x = 1,902.08 × 853.79
  4. Step 4: Simplify right side
    1,378.05x = 1,623,976.88
  5. Step 5: Solve for x
    x = 1,623,976.88/1,378.05
  6. Step 6: Final answer
    x = 1,178.46

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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.