Home / 1,109.18-1,664.26-378.84

Finding the Fourth Proportional to 1,109.18, 1,664.26 and 378.84

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Solution

The fourth proportional to 1,109.18, 1,664.26 and 378.84 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.18 : 1,664.26 = 378.84 : x
  2. Step 2: Convert to fraction form
    1,109.18/1,664.26 = 378.84/x
  3. Step 3: Cross multiply
    1,109.18x = 1,664.26 × 378.84
  4. Step 4: Simplify right side
    1,109.18x = 630,488.26
  5. Step 5: Solve for x
    x = 630,488.26/1,109.18
  6. Step 6: Final answer
    x = 568.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.