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Finding the Fourth Proportional to 752.63, 1,131.06 and 444.62

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Solution

The fourth proportional to 752.63, 1,131.06 and 444.62 is: 668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.63 : 1,131.06 = 444.62 : x
  2. Step 2: Convert to fraction form
    752.63/1,131.06 = 444.62/x
  3. Step 3: Cross multiply
    752.63x = 1,131.06 × 444.62
  4. Step 4: Simplify right side
    752.63x = 502,886.24
  5. Step 5: Solve for x
    x = 502,886.24/752.63
  6. Step 6: Final answer
    x = 668.18

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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.