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Finding the Fourth Proportional to 609.38, 840.83 and 412.70

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Solution

The fourth proportional to 609.38, 840.83 and 412.70 is: 569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 840.83 = 412.70 : x
  2. Step 2: Convert to fraction form
    609.38/840.83 = 412.70/x
  3. Step 3: Cross multiply
    609.38x = 840.83 × 412.70
  4. Step 4: Simplify right side
    609.38x = 347,004.27
  5. Step 5: Solve for x
    x = 347,004.27/609.38
  6. Step 6: Final answer
    x = 569.44

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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.