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Finding the Fourth Proportional to 683.55, 942.57 and 447.71

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Solution

The fourth proportional to 683.55, 942.57 and 447.71 is: 617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.55 : 942.57 = 447.71 : x
  2. Step 2: Convert to fraction form
    683.55/942.57 = 447.71/x
  3. Step 3: Cross multiply
    683.55x = 942.57 × 447.71
  4. Step 4: Simplify right side
    683.55x = 421,996.16
  5. Step 5: Solve for x
    x = 421,996.16/683.55
  6. Step 6: Final answer
    x = 617.36

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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.