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Finding the Fourth Proportional to 828.96, 1,144.14 and 549.23

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Solution

The fourth proportional to 828.96, 1,144.14 and 549.23 is: 758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.96 : 1,144.14 = 549.23 : x
  2. Step 2: Convert to fraction form
    828.96/1,144.14 = 549.23/x
  3. Step 3: Cross multiply
    828.96x = 1,144.14 × 549.23
  4. Step 4: Simplify right side
    828.96x = 628,396.01
  5. Step 5: Solve for x
    x = 628,396.01/828.96
  6. Step 6: Final answer
    x = 758.05

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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.