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Finding the Fourth Proportional to 681.79, 940.86 and 416.23

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Solution

The fourth proportional to 681.79, 940.86 and 416.23 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.79 : 940.86 = 416.23 : x
  2. Step 2: Convert to fraction form
    681.79/940.86 = 416.23/x
  3. Step 3: Cross multiply
    681.79x = 940.86 × 416.23
  4. Step 4: Simplify right side
    681.79x = 391,614.16
  5. Step 5: Solve for x
    x = 391,614.16/681.79
  6. Step 6: Final answer
    x = 574.39

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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.