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Finding the Fourth Proportional to 650.28, 977.34 and 308.52

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Solution

The fourth proportional to 650.28, 977.34 and 308.52 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.28 : 977.34 = 308.52 : x
  2. Step 2: Convert to fraction form
    650.28/977.34 = 308.52/x
  3. Step 3: Cross multiply
    650.28x = 977.34 × 308.52
  4. Step 4: Simplify right side
    650.28x = 301,528.94
  5. Step 5: Solve for x
    x = 301,528.94/650.28
  6. Step 6: Final answer
    x = 463.69

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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.