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Finding the Fourth Proportional to 523.81, 720.79 and 453.54

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Solution

The fourth proportional to 523.81, 720.79 and 453.54 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.81 : 720.79 = 453.54 : x
  2. Step 2: Convert to fraction form
    523.81/720.79 = 453.54/x
  3. Step 3: Cross multiply
    523.81x = 720.79 × 453.54
  4. Step 4: Simplify right side
    523.81x = 326,907.10
  5. Step 5: Solve for x
    x = 326,907.10/523.81
  6. Step 6: Final answer
    x = 624.09

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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.