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Finding the Fourth Proportional to 683.21, 943.13 and 462.29

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Solution

The fourth proportional to 683.21, 943.13 and 462.29 is: 638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.21 : 943.13 = 462.29 : x
  2. Step 2: Convert to fraction form
    683.21/943.13 = 462.29/x
  3. Step 3: Cross multiply
    683.21x = 943.13 × 462.29
  4. Step 4: Simplify right side
    683.21x = 435,992.54
  5. Step 5: Solve for x
    x = 435,992.54/683.21
  6. Step 6: Final answer
    x = 638.16

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.