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Finding the Fourth Proportional to 878.05, 1,211.70 and 505.03

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Solution

The fourth proportional to 878.05, 1,211.70 and 505.03 is: 696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.05 : 1,211.70 = 505.03 : x
  2. Step 2: Convert to fraction form
    878.05/1,211.70 = 505.03/x
  3. Step 3: Cross multiply
    878.05x = 1,211.70 × 505.03
  4. Step 4: Simplify right side
    878.05x = 611,944.85
  5. Step 5: Solve for x
    x = 611,944.85/878.05
  6. Step 6: Final answer
    x = 696.94

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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.