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Finding the Fourth Proportional to 774.57, 1,161.68 and 274.31

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Solution

The fourth proportional to 774.57, 1,161.68 and 274.31 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.57 : 1,161.68 = 274.31 : x
  2. Step 2: Convert to fraction form
    774.57/1,161.68 = 274.31/x
  3. Step 3: Cross multiply
    774.57x = 1,161.68 × 274.31
  4. Step 4: Simplify right side
    774.57x = 318,654.63
  5. Step 5: Solve for x
    x = 318,654.63/774.57
  6. Step 6: Final answer
    x = 411.40

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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.