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Finding the Fourth Proportional to 577.78, 865.59 and 361.78

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Solution

The fourth proportional to 577.78, 865.59 and 361.78 is: 541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.78 : 865.59 = 361.78 : x
  2. Step 2: Convert to fraction form
    577.78/865.59 = 361.78/x
  3. Step 3: Cross multiply
    577.78x = 865.59 × 361.78
  4. Step 4: Simplify right side
    577.78x = 313,153.15
  5. Step 5: Solve for x
    x = 313,153.15/577.78
  6. Step 6: Final answer
    x = 541.99

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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.