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Finding the Fourth Proportional to 664.44, 917.04 and 402.36

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Solution

The fourth proportional to 664.44, 917.04 and 402.36 is: 555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 917.04 = 402.36 : x
  2. Step 2: Convert to fraction form
    664.44/917.04 = 402.36/x
  3. Step 3: Cross multiply
    664.44x = 917.04 × 402.36
  4. Step 4: Simplify right side
    664.44x = 368,980.21
  5. Step 5: Solve for x
    x = 368,980.21/664.44
  6. Step 6: Final answer
    x = 555.33

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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.