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Finding the Fourth Proportional to 683.15, 943.20 and 609.35

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Solution

The fourth proportional to 683.15, 943.20 and 609.35 is: 841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.15 : 943.20 = 609.35 : x
  2. Step 2: Convert to fraction form
    683.15/943.20 = 609.35/x
  3. Step 3: Cross multiply
    683.15x = 943.20 × 609.35
  4. Step 4: Simplify right side
    683.15x = 574,734.20
  5. Step 5: Solve for x
    x = 574,734.20/683.15
  6. Step 6: Final answer
    x = 841.31

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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.