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Finding the Fourth Proportional to 577.03, 796.05 and 355.90

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Solution

The fourth proportional to 577.03, 796.05 and 355.90 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.03 : 796.05 = 355.90 : x
  2. Step 2: Convert to fraction form
    577.03/796.05 = 355.90/x
  3. Step 3: Cross multiply
    577.03x = 796.05 × 355.90
  4. Step 4: Simplify right side
    577.03x = 283,314.20
  5. Step 5: Solve for x
    x = 283,314.20/577.03
  6. Step 6: Final answer
    x = 490.99

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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.