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Finding the Fourth Proportional to 645.82, 890.97 and 480.14

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Solution

The fourth proportional to 645.82, 890.97 and 480.14 is: 662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.82 : 890.97 = 480.14 : x
  2. Step 2: Convert to fraction form
    645.82/890.97 = 480.14/x
  3. Step 3: Cross multiply
    645.82x = 890.97 × 480.14
  4. Step 4: Simplify right side
    645.82x = 427,790.34
  5. Step 5: Solve for x
    x = 427,790.34/645.82
  6. Step 6: Final answer
    x = 662.40

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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.