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Finding the Fourth Proportional to 577.30, 795.75 and 355.77

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Solution

The fourth proportional to 577.30, 795.75 and 355.77 is: 490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.30 : 795.75 = 355.77 : x
  2. Step 2: Convert to fraction form
    577.30/795.75 = 355.77/x
  3. Step 3: Cross multiply
    577.30x = 795.75 × 355.77
  4. Step 4: Simplify right side
    577.30x = 283,103.98
  5. Step 5: Solve for x
    x = 283,103.98/577.30
  6. Step 6: Final answer
    x = 490.39

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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.