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Finding the Fourth Proportional to 576.19, 863.94 and 315.74

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Solution

The fourth proportional to 576.19, 863.94 and 315.74 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.19 : 863.94 = 315.74 : x
  2. Step 2: Convert to fraction form
    576.19/863.94 = 315.74/x
  3. Step 3: Cross multiply
    576.19x = 863.94 × 315.74
  4. Step 4: Simplify right side
    576.19x = 272,782.58
  5. Step 5: Solve for x
    x = 272,782.58/576.19
  6. Step 6: Final answer
    x = 473.43

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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.