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Finding the Fourth Proportional to 744.50, 1,028.22 and 512.30

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Solution

The fourth proportional to 744.50, 1,028.22 and 512.30 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.50 : 1,028.22 = 512.30 : x
  2. Step 2: Convert to fraction form
    744.50/1,028.22 = 512.30/x
  3. Step 3: Cross multiply
    744.50x = 1,028.22 × 512.30
  4. Step 4: Simplify right side
    744.50x = 526,757.11
  5. Step 5: Solve for x
    x = 526,757.11/744.50
  6. Step 6: Final answer
    x = 707.53

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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.