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Finding the Fourth Proportional to 576.44, 864.46 and 298.82

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Solution

The fourth proportional to 576.44, 864.46 and 298.82 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.44 : 864.46 = 298.82 : x
  2. Step 2: Convert to fraction form
    576.44/864.46 = 298.82/x
  3. Step 3: Cross multiply
    576.44x = 864.46 × 298.82
  4. Step 4: Simplify right side
    576.44x = 258,313.61
  5. Step 5: Solve for x
    x = 258,313.61/576.44
  6. Step 6: Final answer
    x = 448.12

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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.