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Finding the Fourth Proportional to 1,327.63, 1,992.25 and 462.55

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Solution

The fourth proportional to 1,327.63, 1,992.25 and 462.55 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.63 : 1,992.25 = 462.55 : x
  2. Step 2: Convert to fraction form
    1,327.63/1,992.25 = 462.55/x
  3. Step 3: Cross multiply
    1,327.63x = 1,992.25 × 462.55
  4. Step 4: Simplify right side
    1,327.63x = 921,512.92
  5. Step 5: Solve for x
    x = 921,512.92/1,327.63
  6. Step 6: Final answer
    x = 694.10

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Half scale
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Double scale
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Similar ratio
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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.