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Finding the Fourth Proportional to 577.05, 795.40 and 355.52

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Solution

The fourth proportional to 577.05, 795.40 and 355.52 is: 490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 795.40 = 355.52 : x
  2. Step 2: Convert to fraction form
    577.05/795.40 = 355.52/x
  3. Step 3: Cross multiply
    577.05x = 795.40 × 355.52
  4. Step 4: Simplify right side
    577.05x = 282,780.61
  5. Step 5: Solve for x
    x = 282,780.61/577.05
  6. Step 6: Final answer
    x = 490.05

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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.