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Finding the Fourth Proportional to 441.28, 656.42 and 436.60

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Solution

The fourth proportional to 441.28, 656.42 and 436.60 is: 649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.28 : 656.42 = 436.60 : x
  2. Step 2: Convert to fraction form
    441.28/656.42 = 436.60/x
  3. Step 3: Cross multiply
    441.28x = 656.42 × 436.60
  4. Step 4: Simplify right side
    441.28x = 286,592.97
  5. Step 5: Solve for x
    x = 286,592.97/441.28
  6. Step 6: Final answer
    x = 649.46

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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.