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Finding the Fourth Proportional to 609.86, 840.27 and 504.36

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Solution

The fourth proportional to 609.86, 840.27 and 504.36 is: 694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 840.27 = 504.36 : x
  2. Step 2: Convert to fraction form
    609.86/840.27 = 504.36/x
  3. Step 3: Cross multiply
    609.86x = 840.27 × 504.36
  4. Step 4: Simplify right side
    609.86x = 423,800.47
  5. Step 5: Solve for x
    x = 423,800.47/609.86
  6. Step 6: Final answer
    x = 694.91

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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.