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Finding the Fourth Proportional to 878.99, 1,212.89 and 505.83

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Solution

The fourth proportional to 878.99, 1,212.89 and 505.83 is: 697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.99 : 1,212.89 = 505.83 : x
  2. Step 2: Convert to fraction form
    878.99/1,212.89 = 505.83/x
  3. Step 3: Cross multiply
    878.99x = 1,212.89 × 505.83
  4. Step 4: Simplify right side
    878.99x = 613,516.15
  5. Step 5: Solve for x
    x = 613,516.15/878.99
  6. Step 6: Final answer
    x = 697.98

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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.