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Finding the Fourth Proportional to 440.56, 664.71 and 436.91

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Solution

The fourth proportional to 440.56, 664.71 and 436.91 is: 659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.56 : 664.71 = 436.91 : x
  2. Step 2: Convert to fraction form
    440.56/664.71 = 436.91/x
  3. Step 3: Cross multiply
    440.56x = 664.71 × 436.91
  4. Step 4: Simplify right side
    440.56x = 290,416.26
  5. Step 5: Solve for x
    x = 290,416.26/440.56
  6. Step 6: Final answer
    x = 659.21

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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.