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Finding the Fourth Proportional to 664.41, 917.17 and 402.38

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Solution

The fourth proportional to 664.41, 917.17 and 402.38 is: 555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.41 : 917.17 = 402.38 : x
  2. Step 2: Convert to fraction form
    664.41/917.17 = 402.38/x
  3. Step 3: Cross multiply
    664.41x = 917.17 × 402.38
  4. Step 4: Simplify right side
    664.41x = 369,050.86
  5. Step 5: Solve for x
    x = 369,050.86/664.41
  6. Step 6: Final answer
    x = 555.46

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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.