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Finding the Fourth Proportional to 645.28, 965.84 and 491.76

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Solution

The fourth proportional to 645.28, 965.84 and 491.76 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.28 : 965.84 = 491.76 : x
  2. Step 2: Convert to fraction form
    645.28/965.84 = 491.76/x
  3. Step 3: Cross multiply
    645.28x = 965.84 × 491.76
  4. Step 4: Simplify right side
    645.28x = 474,961.48
  5. Step 5: Solve for x
    x = 474,961.48/645.28
  6. Step 6: Final answer
    x = 736.05

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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.