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Finding the Fourth Proportional to 878.85, 1,213.79 and 658.53

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Solution

The fourth proportional to 878.85, 1,213.79 and 658.53 is: 909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.85 : 1,213.79 = 658.53 : x
  2. Step 2: Convert to fraction form
    878.85/1,213.79 = 658.53/x
  3. Step 3: Cross multiply
    878.85x = 1,213.79 × 658.53
  4. Step 4: Simplify right side
    878.85x = 799,313.84
  5. Step 5: Solve for x
    x = 799,313.84/878.85
  6. Step 6: Final answer
    x = 909.50

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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.