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Finding the Fourth Proportional to 472.60, 712.41 and 440.60

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Solution

The fourth proportional to 472.60, 712.41 and 440.60 is: 664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 712.41 = 440.60 : x
  2. Step 2: Convert to fraction form
    472.60/712.41 = 440.60/x
  3. Step 3: Cross multiply
    472.60x = 712.41 × 440.60
  4. Step 4: Simplify right side
    472.60x = 313,887.85
  5. Step 5: Solve for x
    x = 313,887.85/472.60
  6. Step 6: Final answer
    x = 664.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.