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Finding the Fourth Proportional to 576.45, 863.13 and 301.99

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Solution

The fourth proportional to 576.45, 863.13 and 301.99 is: 452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.45 : 863.13 = 301.99 : x
  2. Step 2: Convert to fraction form
    576.45/863.13 = 301.99/x
  3. Step 3: Cross multiply
    576.45x = 863.13 × 301.99
  4. Step 4: Simplify right side
    576.45x = 260,656.63
  5. Step 5: Solve for x
    x = 260,656.63/576.45
  6. Step 6: Final answer
    x = 452.18

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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.