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Finding the Fourth Proportional to 650.50, 975.87 and 308.50

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Solution

The fourth proportional to 650.50, 975.87 and 308.50 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.50 : 975.87 = 308.50 : x
  2. Step 2: Convert to fraction form
    650.50/975.87 = 308.50/x
  3. Step 3: Cross multiply
    650.50x = 975.87 × 308.50
  4. Step 4: Simplify right side
    650.50x = 301,055.90
  5. Step 5: Solve for x
    x = 301,055.90/650.50
  6. Step 6: Final answer
    x = 462.81

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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.