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Finding the Fourth Proportional to 576.78, 795.76 and 355.78

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Solution

The fourth proportional to 576.78, 795.76 and 355.78 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.78 : 795.76 = 355.78 : x
  2. Step 2: Convert to fraction form
    576.78/795.76 = 355.78/x
  3. Step 3: Cross multiply
    576.78x = 795.76 × 355.78
  4. Step 4: Simplify right side
    576.78x = 283,115.49
  5. Step 5: Solve for x
    x = 283,115.49/576.78
  6. Step 6: Final answer
    x = 490.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.