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Finding the Fourth Proportional to 524.12, 721.64 and 445.28

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Solution

The fourth proportional to 524.12, 721.64 and 445.28 is: 613.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 721.64 = 445.28 : x
  2. Step 2: Convert to fraction form
    524.12/721.64 = 445.28/x
  3. Step 3: Cross multiply
    524.12x = 721.64 × 445.28
  4. Step 4: Simplify right side
    524.12x = 321,326.02
  5. Step 5: Solve for x
    x = 321,326.02/524.12
  6. Step 6: Final answer
    x = 613.08

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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.