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Finding the Fourth Proportional to 664.63, 917.10 and 369.86

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Solution

The fourth proportional to 664.63, 917.10 and 369.86 is: 510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.63 : 917.10 = 369.86 : x
  2. Step 2: Convert to fraction form
    664.63/917.10 = 369.86/x
  3. Step 3: Cross multiply
    664.63x = 917.10 × 369.86
  4. Step 4: Simplify right side
    664.63x = 339,198.61
  5. Step 5: Solve for x
    x = 339,198.61/664.63
  6. Step 6: Final answer
    x = 510.36

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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.