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Finding the Fourth Proportional to 1,152.41, 1,728.60 and 422.49

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Solution

The fourth proportional to 1,152.41, 1,728.60 and 422.49 is: 633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.41 : 1,728.60 = 422.49 : x
  2. Step 2: Convert to fraction form
    1,152.41/1,728.60 = 422.49/x
  3. Step 3: Cross multiply
    1,152.41x = 1,728.60 × 422.49
  4. Step 4: Simplify right side
    1,152.41x = 730,316.21
  5. Step 5: Solve for x
    x = 730,316.21/1,152.41
  6. Step 6: Final answer
    x = 633.73

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.