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Finding the Fourth Proportional to 521.54, 784.14 and 481.40

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Solution

The fourth proportional to 521.54, 784.14 and 481.40 is: 723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.54 : 784.14 = 481.40 : x
  2. Step 2: Convert to fraction form
    521.54/784.14 = 481.40/x
  3. Step 3: Cross multiply
    521.54x = 784.14 × 481.40
  4. Step 4: Simplify right side
    521.54x = 377,485.00
  5. Step 5: Solve for x
    x = 377,485.00/521.54
  6. Step 6: Final answer
    x = 723.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.