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Finding the Fourth Proportional to 857.09, 1,182.78 and 464.11

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Solution

The fourth proportional to 857.09, 1,182.78 and 464.11 is: 640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.09 : 1,182.78 = 464.11 : x
  2. Step 2: Convert to fraction form
    857.09/1,182.78 = 464.11/x
  3. Step 3: Cross multiply
    857.09x = 1,182.78 × 464.11
  4. Step 4: Simplify right side
    857.09x = 548,940.03
  5. Step 5: Solve for x
    x = 548,940.03/857.09
  6. Step 6: Final answer
    x = 640.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.