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Finding the Fourth Proportional to 549.33, 762.09 and 522.60

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Solution

The fourth proportional to 549.33, 762.09 and 522.60 is: 725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.33 : 762.09 = 522.60 : x
  2. Step 2: Convert to fraction form
    549.33/762.09 = 522.60/x
  3. Step 3: Cross multiply
    549.33x = 762.09 × 522.60
  4. Step 4: Simplify right side
    549.33x = 398,268.23
  5. Step 5: Solve for x
    x = 398,268.23/549.33
  6. Step 6: Final answer
    x = 725.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.