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Finding the Fourth Proportional to 752, 1,038 and 441.44

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Solution

The fourth proportional to 752, 1,038 and 441.44 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    752 : 1,038 = 441.44 : x
  2. Step 2: Convert to fraction form
    752/1,038 = 441.44/x
  3. Step 3: Cross multiply
    752x = 1,038 × 441.44
  4. Step 4: Simplify right side
    752x = 458,214.72
  5. Step 5: Solve for x
    x = 458,214.72/752
  6. Step 6: Final answer
    x = 609.33

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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.