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Finding the Fourth Proportional to 551.86, 823.24 and 512.57

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Solution

The fourth proportional to 551.86, 823.24 and 512.57 is: 764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 823.24 = 512.57 : x
  2. Step 2: Convert to fraction form
    551.86/823.24 = 512.57/x
  3. Step 3: Cross multiply
    551.86x = 823.24 × 512.57
  4. Step 4: Simplify right side
    551.86x = 421,968.13
  5. Step 5: Solve for x
    x = 421,968.13/551.86
  6. Step 6: Final answer
    x = 764.63

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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.