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Finding the Fourth Proportional to 774.06, 1,161.08 and 334.95

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Solution

The fourth proportional to 774.06, 1,161.08 and 334.95 is: 502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.06 : 1,161.08 = 334.95 : x
  2. Step 2: Convert to fraction form
    774.06/1,161.08 = 334.95/x
  3. Step 3: Cross multiply
    774.06x = 1,161.08 × 334.95
  4. Step 4: Simplify right side
    774.06x = 388,901.63
  5. Step 5: Solve for x
    x = 388,901.63/774.06
  6. Step 6: Final answer
    x = 502.42

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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.