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Finding the Fourth Proportional to 664.75, 917.21 and 402.71

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Solution

The fourth proportional to 664.75, 917.21 and 402.71 is: 555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 917.21 = 402.71 : x
  2. Step 2: Convert to fraction form
    664.75/917.21 = 402.71/x
  3. Step 3: Cross multiply
    664.75x = 917.21 × 402.71
  4. Step 4: Simplify right side
    664.75x = 369,372.94
  5. Step 5: Solve for x
    x = 369,372.94/664.75
  6. Step 6: Final answer
    x = 555.66

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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.