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Finding the Fourth Proportional to 681.40, 940.23 and 432.70

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Solution

The fourth proportional to 681.40, 940.23 and 432.70 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.40 : 940.23 = 432.70 : x
  2. Step 2: Convert to fraction form
    681.40/940.23 = 432.70/x
  3. Step 3: Cross multiply
    681.40x = 940.23 × 432.70
  4. Step 4: Simplify right side
    681.40x = 406,837.52
  5. Step 5: Solve for x
    x = 406,837.52/681.40
  6. Step 6: Final answer
    x = 597.06

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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.