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Finding the Fourth Proportional to 681.57, 940.08 and 460.14

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Solution

The fourth proportional to 681.57, 940.08 and 460.14 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.57 : 940.08 = 460.14 : x
  2. Step 2: Convert to fraction form
    681.57/940.08 = 460.14/x
  3. Step 3: Cross multiply
    681.57x = 940.08 × 460.14
  4. Step 4: Simplify right side
    681.57x = 432,568.41
  5. Step 5: Solve for x
    x = 432,568.41/681.57
  6. Step 6: Final answer
    x = 634.66

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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.