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Finding the Fourth Proportional to 664.67, 917.73 and 444.02

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Solution

The fourth proportional to 664.67, 917.73 and 444.02 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.67 : 917.73 = 444.02 : x
  2. Step 2: Convert to fraction form
    664.67/917.73 = 444.02/x
  3. Step 3: Cross multiply
    664.67x = 917.73 × 444.02
  4. Step 4: Simplify right side
    664.67x = 407,485.89
  5. Step 5: Solve for x
    x = 407,485.89/664.67
  6. Step 6: Final answer
    x = 613.06

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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.