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Finding the Fourth Proportional to 609.57, 840.27 and 478.35

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Solution

The fourth proportional to 609.57, 840.27 and 478.35 is: 659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.57 : 840.27 = 478.35 : x
  2. Step 2: Convert to fraction form
    609.57/840.27 = 478.35/x
  3. Step 3: Cross multiply
    609.57x = 840.27 × 478.35
  4. Step 4: Simplify right side
    609.57x = 401,943.15
  5. Step 5: Solve for x
    x = 401,943.15/609.57
  6. Step 6: Final answer
    x = 659.39

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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.