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Finding the Fourth Proportional to 683.76, 944.37 and 462.33

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Solution

The fourth proportional to 683.76, 944.37 and 462.33 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 944.37 = 462.33 : x
  2. Step 2: Convert to fraction form
    683.76/944.37 = 462.33/x
  3. Step 3: Cross multiply
    683.76x = 944.37 × 462.33
  4. Step 4: Simplify right side
    683.76x = 436,610.58
  5. Step 5: Solve for x
    x = 436,610.58/683.76
  6. Step 6: Final answer
    x = 638.54

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Half scale
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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.