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Finding the Fourth Proportional to 551.94, 824.22 and 523.86

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Solution

The fourth proportional to 551.94, 824.22 and 523.86 is: 782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.94 : 824.22 = 523.86 : x
  2. Step 2: Convert to fraction form
    551.94/824.22 = 523.86/x
  3. Step 3: Cross multiply
    551.94x = 824.22 × 523.86
  4. Step 4: Simplify right side
    551.94x = 431,775.89
  5. Step 5: Solve for x
    x = 431,775.89/551.94
  6. Step 6: Final answer
    x = 782.29

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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.