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Finding the Fourth Proportional to 774.00, 1,161.00 and 362.85

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Solution

The fourth proportional to 774.00, 1,161.00 and 362.85 is: 544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.00 : 1,161.00 = 362.85 : x
  2. Step 2: Convert to fraction form
    774.00/1,161.00 = 362.85/x
  3. Step 3: Cross multiply
    774.00x = 1,161.00 × 362.85
  4. Step 4: Simplify right side
    774.00x = 421,263.14
  5. Step 5: Solve for x
    x = 421,263.14/774.00
  6. Step 6: Final answer
    x = 544.27

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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.