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Finding the Fourth Proportional to 752.06, 1,128.25 and 444.14

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Solution

The fourth proportional to 752.06, 1,128.25 and 444.14 is: 666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.06 : 1,128.25 = 444.14 : x
  2. Step 2: Convert to fraction form
    752.06/1,128.25 = 444.14/x
  3. Step 3: Cross multiply
    752.06x = 1,128.25 × 444.14
  4. Step 4: Simplify right side
    752.06x = 501,097.60
  5. Step 5: Solve for x
    x = 501,097.60/752.06
  6. Step 6: Final answer
    x = 666.30

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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.