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Finding the Fourth Proportional to 650.54, 975.82 and 394.22

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Solution

The fourth proportional to 650.54, 975.82 and 394.22 is: 591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.54 : 975.82 = 394.22 : x
  2. Step 2: Convert to fraction form
    650.54/975.82 = 394.22/x
  3. Step 3: Cross multiply
    650.54x = 975.82 × 394.22
  4. Step 4: Simplify right side
    650.54x = 384,687.76
  5. Step 5: Solve for x
    x = 384,687.76/650.54
  6. Step 6: Final answer
    x = 591.34

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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.