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Finding the Fourth Proportional to 551.88, 826.20 and 386.78

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Solution

The fourth proportional to 551.88, 826.20 and 386.78 is: 579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.88 : 826.20 = 386.78 : x
  2. Step 2: Convert to fraction form
    551.88/826.20 = 386.78/x
  3. Step 3: Cross multiply
    551.88x = 826.20 × 386.78
  4. Step 4: Simplify right side
    551.88x = 319,553.51
  5. Step 5: Solve for x
    x = 319,553.51/551.88
  6. Step 6: Final answer
    x = 579.03

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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.