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Finding the Fourth Proportional to 752.25, 1,038.11 and 441.75

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Solution

The fourth proportional to 752.25, 1,038.11 and 441.75 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.25 : 1,038.11 = 441.75 : x
  2. Step 2: Convert to fraction form
    752.25/1,038.11 = 441.75/x
  3. Step 3: Cross multiply
    752.25x = 1,038.11 × 441.75
  4. Step 4: Simplify right side
    752.25x = 458,582.88
  5. Step 5: Solve for x
    x = 458,582.88/752.25
  6. Step 6: Final answer
    x = 609.62

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1.5x scale

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.