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Finding the Fourth Proportional to 683.64, 943.13 and 421.50

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Solution

The fourth proportional to 683.64, 943.13 and 421.50 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 943.13 = 421.50 : x
  2. Step 2: Convert to fraction form
    683.64/943.13 = 421.50/x
  3. Step 3: Cross multiply
    683.64x = 943.13 × 421.50
  4. Step 4: Simplify right side
    683.64x = 397,527.19
  5. Step 5: Solve for x
    x = 397,527.19/683.64
  6. Step 6: Final answer
    x = 581.49

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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.