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Finding the Fourth Proportional to 664.57, 917.24 and 416.05

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Solution

The fourth proportional to 664.57, 917.24 and 416.05 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.57 : 917.24 = 416.05 : x
  2. Step 2: Convert to fraction form
    664.57/917.24 = 416.05/x
  3. Step 3: Cross multiply
    664.57x = 917.24 × 416.05
  4. Step 4: Simplify right side
    664.57x = 381,617.70
  5. Step 5: Solve for x
    x = 381,617.70/664.57
  6. Step 6: Final answer
    x = 574.23

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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.