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Finding the Fourth Proportional to 1,233.98, 1,701 and 878.84

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Solution

The fourth proportional to 1,233.98, 1,701 and 878.84 is: 1,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.98 : 1,701 = 878.84 : x
  2. Step 2: Convert to fraction form
    1,233.98/1,701 = 878.84/x
  3. Step 3: Cross multiply
    1,233.98x = 1,701 × 878.84
  4. Step 4: Simplify right side
    1,233.98x = 1,494,898.34
  5. Step 5: Solve for x
    x = 1,494,898.34/1,233.98
  6. Step 6: Final answer
    x = 1,211.45

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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.