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Finding the Fourth Proportional to 878.79, 1,212.53 and 584.54

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Solution

The fourth proportional to 878.79, 1,212.53 and 584.54 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.79 : 1,212.53 = 584.54 : x
  2. Step 2: Convert to fraction form
    878.79/1,212.53 = 584.54/x
  3. Step 3: Cross multiply
    878.79x = 1,212.53 × 584.54
  4. Step 4: Simplify right side
    878.79x = 708,763.30
  5. Step 5: Solve for x
    x = 708,763.30/878.79
  6. Step 6: Final answer
    x = 806.52

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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.