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Finding the Fourth Proportional to 540.12, 804.39 and 525.54

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Solution

The fourth proportional to 540.12, 804.39 and 525.54 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 804.39 = 525.54 : x
  2. Step 2: Convert to fraction form
    540.12/804.39 = 525.54/x
  3. Step 3: Cross multiply
    540.12x = 804.39 × 525.54
  4. Step 4: Simplify right side
    540.12x = 422,739.12
  5. Step 5: Solve for x
    x = 422,739.12/540.12
  6. Step 6: Final answer
    x = 782.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.