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Finding the Fourth Proportional to 772.78, 1,158.56 and 361.50

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Solution

The fourth proportional to 772.78, 1,158.56 and 361.50 is: 541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,158.56 = 361.50 : x
  2. Step 2: Convert to fraction form
    772.78/1,158.56 = 361.50/x
  3. Step 3: Cross multiply
    772.78x = 1,158.56 × 361.50
  4. Step 4: Simplify right side
    772.78x = 418,817.63
  5. Step 5: Solve for x
    x = 418,817.63/772.78
  6. Step 6: Final answer
    x = 541.97

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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.