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Finding the Fourth Proportional to 878.84, 1,212.70 and 505.74

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Solution

The fourth proportional to 878.84, 1,212.70 and 505.74 is: 697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.84 : 1,212.70 = 505.74 : x
  2. Step 2: Convert to fraction form
    878.84/1,212.70 = 505.74/x
  3. Step 3: Cross multiply
    878.84x = 1,212.70 × 505.74
  4. Step 4: Simplify right side
    878.84x = 613,313.05
  5. Step 5: Solve for x
    x = 613,313.05/878.84
  6. Step 6: Final answer
    x = 697.87

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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.