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Finding the Fourth Proportional to 664.94, 917.98 and 612.24

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Solution

The fourth proportional to 664.94, 917.98 and 612.24 is: 845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.94 : 917.98 = 612.24 : x
  2. Step 2: Convert to fraction form
    664.94/917.98 = 612.24/x
  3. Step 3: Cross multiply
    664.94x = 917.98 × 612.24
  4. Step 4: Simplify right side
    664.94x = 562,022.54
  5. Step 5: Solve for x
    x = 562,022.54/664.94
  6. Step 6: Final answer
    x = 845.22

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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.