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Finding the Fourth Proportional to 664.45, 917.17 and 402.46

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Solution

The fourth proportional to 664.45, 917.17 and 402.46 is: 555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.45 : 917.17 = 402.46 : x
  2. Step 2: Convert to fraction form
    664.45/917.17 = 402.46/x
  3. Step 3: Cross multiply
    664.45x = 917.17 × 402.46
  4. Step 4: Simplify right side
    664.45x = 369,122.23
  5. Step 5: Solve for x
    x = 369,122.23/664.45
  6. Step 6: Final answer
    x = 555.53

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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.