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Finding the Fourth Proportional to 657.12, 984.88 and 441.12

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Solution

The fourth proportional to 657.12, 984.88 and 441.12 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.12 : 984.88 = 441.12 : x
  2. Step 2: Convert to fraction form
    657.12/984.88 = 441.12/x
  3. Step 3: Cross multiply
    657.12x = 984.88 × 441.12
  4. Step 4: Simplify right side
    657.12x = 434,450.27
  5. Step 5: Solve for x
    x = 434,450.27/657.12
  6. Step 6: Final answer
    x = 661.14

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1.5x scale

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.