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Finding the Fourth Proportional to 828.56, 1,143.63 and 549.25

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Solution

The fourth proportional to 828.56, 1,143.63 and 549.25 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 1,143.63 = 549.25 : x
  2. Step 2: Convert to fraction form
    828.56/1,143.63 = 549.25/x
  3. Step 3: Cross multiply
    828.56x = 1,143.63 × 549.25
  4. Step 4: Simplify right side
    828.56x = 628,135.92
  5. Step 5: Solve for x
    x = 628,135.92/828.56
  6. Step 6: Final answer
    x = 758.10

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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.