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Finding the Fourth Proportional to 650.39, 975.62 and 361.61

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Solution

The fourth proportional to 650.39, 975.62 and 361.61 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.39 : 975.62 = 361.61 : x
  2. Step 2: Convert to fraction form
    650.39/975.62 = 361.61/x
  3. Step 3: Cross multiply
    650.39x = 975.62 × 361.61
  4. Step 4: Simplify right side
    650.39x = 352,792.14
  5. Step 5: Solve for x
    x = 352,792.14/650.39
  6. Step 6: Final answer
    x = 542.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.