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Finding the Fourth Proportional to 698.82, 965.02 and 450.72

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Solution

The fourth proportional to 698.82, 965.02 and 450.72 is: 622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 965.02 = 450.72 : x
  2. Step 2: Convert to fraction form
    698.82/965.02 = 450.72/x
  3. Step 3: Cross multiply
    698.82x = 965.02 × 450.72
  4. Step 4: Simplify right side
    698.82x = 434,953.81
  5. Step 5: Solve for x
    x = 434,953.81/698.82
  6. Step 6: Final answer
    x = 622.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.