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Finding the Fourth Proportional to 650.75, 975.20 and 488.25

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Solution

The fourth proportional to 650.75, 975.20 and 488.25 is: 731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.75 : 975.20 = 488.25 : x
  2. Step 2: Convert to fraction form
    650.75/975.20 = 488.25/x
  3. Step 3: Cross multiply
    650.75x = 975.20 × 488.25
  4. Step 4: Simplify right side
    650.75x = 476,138.96
  5. Step 5: Solve for x
    x = 476,138.96/650.75
  6. Step 6: Final answer
    x = 731.68

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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.