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Finding the Fourth Proportional to 441.56, 656.78 and 440.08

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Solution

The fourth proportional to 441.56, 656.78 and 440.08 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.56 : 656.78 = 440.08 : x
  2. Step 2: Convert to fraction form
    441.56/656.78 = 440.08/x
  3. Step 3: Cross multiply
    441.56x = 656.78 × 440.08
  4. Step 4: Simplify right side
    441.56x = 289,035.74
  5. Step 5: Solve for x
    x = 289,035.74/441.56
  6. Step 6: Final answer
    x = 654.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.