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Finding the Fourth Proportional to 746.31, 1,028.50 and 536.12

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Solution

The fourth proportional to 746.31, 1,028.50 and 536.12 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.31 : 1,028.50 = 536.12 : x
  2. Step 2: Convert to fraction form
    746.31/1,028.50 = 536.12/x
  3. Step 3: Cross multiply
    746.31x = 1,028.50 × 536.12
  4. Step 4: Simplify right side
    746.31x = 551,396.79
  5. Step 5: Solve for x
    x = 551,396.79/746.31
  6. Step 6: Final answer
    x = 738.83

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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.