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Finding the Fourth Proportional to 681.52, 939.40 and 460.09

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Solution

The fourth proportional to 681.52, 939.40 and 460.09 is: 634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.52 : 939.40 = 460.09 : x
  2. Step 2: Convert to fraction form
    681.52/939.40 = 460.09/x
  3. Step 3: Cross multiply
    681.52x = 939.40 × 460.09
  4. Step 4: Simplify right side
    681.52x = 432,203.85
  5. Step 5: Solve for x
    x = 432,203.85/681.52
  6. Step 6: Final answer
    x = 634.18

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1.5x scale

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.