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Finding the Fourth Proportional to 681.02, 939.66 and 432.25

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Solution

The fourth proportional to 681.02, 939.66 and 432.25 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.02 : 939.66 = 432.25 : x
  2. Step 2: Convert to fraction form
    681.02/939.66 = 432.25/x
  3. Step 3: Cross multiply
    681.02x = 939.66 × 432.25
  4. Step 4: Simplify right side
    681.02x = 406,164.06
  5. Step 5: Solve for x
    x = 406,164.06/681.02
  6. Step 6: Final answer
    x = 596.41

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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.