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Finding the Fourth Proportional to 878.96, 1,213.00 and 505.94

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Solution

The fourth proportional to 878.96, 1,213.00 and 505.94 is: 698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.96 : 1,213.00 = 505.94 : x
  2. Step 2: Convert to fraction form
    878.96/1,213.00 = 505.94/x
  3. Step 3: Cross multiply
    878.96x = 1,213.00 × 505.94
  4. Step 4: Simplify right side
    878.96x = 613,697.89
  5. Step 5: Solve for x
    x = 613,697.89/878.96
  6. Step 6: Final answer
    x = 698.21

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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.