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Finding the Fourth Proportional to 551.48, 826.26 and 323

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Solution

The fourth proportional to 551.48, 826.26 and 323 is: 483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.48 : 826.26 = 323 : x
  2. Step 2: Convert to fraction form
    551.48/826.26 = 323/x
  3. Step 3: Cross multiply
    551.48x = 826.26 × 323
  4. Step 4: Simplify right side
    551.48x = 266,881.98
  5. Step 5: Solve for x
    x = 266,881.98/551.48
  6. Step 6: Final answer
    x = 483.94

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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.