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Finding the Fourth Proportional to 681.32, 939.12 and 471.80

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Solution

The fourth proportional to 681.32, 939.12 and 471.80 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.32 : 939.12 = 471.80 : x
  2. Step 2: Convert to fraction form
    681.32/939.12 = 471.80/x
  3. Step 3: Cross multiply
    681.32x = 939.12 × 471.80
  4. Step 4: Simplify right side
    681.32x = 443,076.82
  5. Step 5: Solve for x
    x = 443,076.82/681.32
  6. Step 6: Final answer
    x = 650.32

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Double scale
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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.