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Finding the Fourth Proportional to 1,379.48, 1,902.84 and 881.94

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Solution

The fourth proportional to 1,379.48, 1,902.84 and 881.94 is: 1,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.48 : 1,902.84 = 881.94 : x
  2. Step 2: Convert to fraction form
    1,379.48/1,902.84 = 881.94/x
  3. Step 3: Cross multiply
    1,379.48x = 1,902.84 × 881.94
  4. Step 4: Simplify right side
    1,379.48x = 1,678,188.80
  5. Step 5: Solve for x
    x = 1,678,188.80/1,379.48
  6. Step 6: Final answer
    x = 1,216.54

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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.