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Finding the Fourth Proportional to 664.33, 917.08 and 415.81

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Solution

The fourth proportional to 664.33, 917.08 and 415.81 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.33 : 917.08 = 415.81 : x
  2. Step 2: Convert to fraction form
    664.33/917.08 = 415.81/x
  3. Step 3: Cross multiply
    664.33x = 917.08 × 415.81
  4. Step 4: Simplify right side
    664.33x = 381,326.45
  5. Step 5: Solve for x
    x = 381,326.45/664.33
  6. Step 6: Final answer
    x = 574.01

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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.