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Finding the Fourth Proportional to 645.56, 974.11 and 645.56

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Solution

The fourth proportional to 645.56, 974.11 and 645.56 is: 974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 974.11 = 645.56 : x
  2. Step 2: Convert to fraction form
    645.56/974.11 = 645.56/x
  3. Step 3: Cross multiply
    645.56x = 974.11 × 645.56
  4. Step 4: Simplify right side
    645.56x = 628,847.56
  5. Step 5: Solve for x
    x = 628,847.56/645.56
  6. Step 6: Final answer
    x = 974.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.