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Finding the Fourth Proportional to 548.43, 826.09 and 499.96

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Solution

The fourth proportional to 548.43, 826.09 and 499.96 is: 753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.43 : 826.09 = 499.96 : x
  2. Step 2: Convert to fraction form
    548.43/826.09 = 499.96/x
  3. Step 3: Cross multiply
    548.43x = 826.09 × 499.96
  4. Step 4: Simplify right side
    548.43x = 413,011.96
  5. Step 5: Solve for x
    x = 413,011.96/548.43
  6. Step 6: Final answer
    x = 753.08

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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.