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Finding the Fourth Proportional to 549.04, 762.64 and 540.22

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Solution

The fourth proportional to 549.04, 762.64 and 540.22 is: 750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.04 : 762.64 = 540.22 : x
  2. Step 2: Convert to fraction form
    549.04/762.64 = 540.22/x
  3. Step 3: Cross multiply
    549.04x = 762.64 × 540.22
  4. Step 4: Simplify right side
    549.04x = 411,993.38
  5. Step 5: Solve for x
    x = 411,993.38/549.04
  6. Step 6: Final answer
    x = 750.39

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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.