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Finding the Fourth Proportional to 681.95, 940.73 and 432.84

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Solution

The fourth proportional to 681.95, 940.73 and 432.84 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.95 : 940.73 = 432.84 : x
  2. Step 2: Convert to fraction form
    681.95/940.73 = 432.84/x
  3. Step 3: Cross multiply
    681.95x = 940.73 × 432.84
  4. Step 4: Simplify right side
    681.95x = 407,183.41
  5. Step 5: Solve for x
    x = 407,183.41/681.95
  6. Step 6: Final answer
    x = 597.09

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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.