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Finding the Fourth Proportional to 774.42, 1,161.90 and 466.48

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Solution

The fourth proportional to 774.42, 1,161.90 and 466.48 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,161.90 = 466.48 : x
  2. Step 2: Convert to fraction form
    774.42/1,161.90 = 466.48/x
  3. Step 3: Cross multiply
    774.42x = 1,161.90 × 466.48
  4. Step 4: Simplify right side
    774.42x = 542,003.11
  5. Step 5: Solve for x
    x = 542,003.11/774.42
  6. Step 6: Final answer
    x = 699.88

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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.