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Finding the Fourth Proportional to 609.00, 840.41 and 347.01

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Solution

The fourth proportional to 609.00, 840.41 and 347.01 is: 478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.00 : 840.41 = 347.01 : x
  2. Step 2: Convert to fraction form
    609.00/840.41 = 347.01/x
  3. Step 3: Cross multiply
    609.00x = 840.41 × 347.01
  4. Step 4: Simplify right side
    609.00x = 291,624.74
  5. Step 5: Solve for x
    x = 291,624.74/609.00
  6. Step 6: Final answer
    x = 478.86

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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.