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Finding the Fourth Proportional to 609.48, 840.90 and 376.56

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Solution

The fourth proportional to 609.48, 840.90 and 376.56 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.48 : 840.90 = 376.56 : x
  2. Step 2: Convert to fraction form
    609.48/840.90 = 376.56/x
  3. Step 3: Cross multiply
    609.48x = 840.90 × 376.56
  4. Step 4: Simplify right side
    609.48x = 316,649.30
  5. Step 5: Solve for x
    x = 316,649.30/609.48
  6. Step 6: Final answer
    x = 519.54

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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.