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Finding the Fourth Proportional to 683.14, 942.82 and 421.24

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Solution

The fourth proportional to 683.14, 942.82 and 421.24 is: 581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.14 : 942.82 = 421.24 : x
  2. Step 2: Convert to fraction form
    683.14/942.82 = 421.24/x
  3. Step 3: Cross multiply
    683.14x = 942.82 × 421.24
  4. Step 4: Simplify right side
    683.14x = 397,153.50
  5. Step 5: Solve for x
    x = 397,153.50/683.14
  6. Step 6: Final answer
    x = 581.36

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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.