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Finding the Fourth Proportional to 576.21, 859.81 and 514.83

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Solution

The fourth proportional to 576.21, 859.81 and 514.83 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.21 : 859.81 = 514.83 : x
  2. Step 2: Convert to fraction form
    576.21/859.81 = 514.83/x
  3. Step 3: Cross multiply
    576.21x = 859.81 × 514.83
  4. Step 4: Simplify right side
    576.21x = 442,654.70
  5. Step 5: Solve for x
    x = 442,654.70/576.21
  6. Step 6: Final answer
    x = 768.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.