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Finding the Fourth Proportional to 683.60, 943.80 and 421.70

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Solution

The fourth proportional to 683.60, 943.80 and 421.70 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.60 : 943.80 = 421.70 : x
  2. Step 2: Convert to fraction form
    683.60/943.80 = 421.70/x
  3. Step 3: Cross multiply
    683.60x = 943.80 × 421.70
  4. Step 4: Simplify right side
    683.60x = 398,000.46
  5. Step 5: Solve for x
    x = 398,000.46/683.60
  6. Step 6: Final answer
    x = 582.21

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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.