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Finding the Fourth Proportional to 878.05, 1,211.73 and 505.12

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Solution

The fourth proportional to 878.05, 1,211.73 and 505.12 is: 697.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.05 : 1,211.73 = 505.12 : x
  2. Step 2: Convert to fraction form
    878.05/1,211.73 = 505.12/x
  3. Step 3: Cross multiply
    878.05x = 1,211.73 × 505.12
  4. Step 4: Simplify right side
    878.05x = 612,070.67
  5. Step 5: Solve for x
    x = 612,070.67/878.05
  6. Step 6: Final answer
    x = 697.08

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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.