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Finding the Fourth Proportional to 562.68, 847.11 and 512.44

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Solution

The fourth proportional to 562.68, 847.11 and 512.44 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 847.11 = 512.44 : x
  2. Step 2: Convert to fraction form
    562.68/847.11 = 512.44/x
  3. Step 3: Cross multiply
    562.68x = 847.11 × 512.44
  4. Step 4: Simplify right side
    562.68x = 434,093.05
  5. Step 5: Solve for x
    x = 434,093.05/562.68
  6. Step 6: Final answer
    x = 771.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.