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Finding the Fourth Proportional to 681.66, 940.62 and 432.89

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Solution

The fourth proportional to 681.66, 940.62 and 432.89 is: 597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.66 : 940.62 = 432.89 : x
  2. Step 2: Convert to fraction form
    681.66/940.62 = 432.89/x
  3. Step 3: Cross multiply
    681.66x = 940.62 × 432.89
  4. Step 4: Simplify right side
    681.66x = 407,184.99
  5. Step 5: Solve for x
    x = 407,184.99/681.66
  6. Step 6: Final answer
    x = 597.34

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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.