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Finding the Fourth Proportional to 524.12, 721.63 and 445.27

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Solution

The fourth proportional to 524.12, 721.63 and 445.27 is: 613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 721.63 = 445.27 : x
  2. Step 2: Convert to fraction form
    524.12/721.63 = 445.27/x
  3. Step 3: Cross multiply
    524.12x = 721.63 × 445.27
  4. Step 4: Simplify right side
    524.12x = 321,320.19
  5. Step 5: Solve for x
    x = 321,320.19/524.12
  6. Step 6: Final answer
    x = 613.07

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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.