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Finding the Fourth Proportional to 774.50, 1,161.91 and 312.27

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Solution

The fourth proportional to 774.50, 1,161.91 and 312.27 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.50 : 1,161.91 = 312.27 : x
  2. Step 2: Convert to fraction form
    774.50/1,161.91 = 312.27/x
  3. Step 3: Cross multiply
    774.50x = 1,161.91 × 312.27
  4. Step 4: Simplify right side
    774.50x = 362,832.20
  5. Step 5: Solve for x
    x = 362,832.20/774.50
  6. Step 6: Final answer
    x = 468.48

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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.