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Finding the Fourth Proportional to 440.38, 659.35 and 406.36

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Solution

The fourth proportional to 440.38, 659.35 and 406.36 is: 608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.38 : 659.35 = 406.36 : x
  2. Step 2: Convert to fraction form
    440.38/659.35 = 406.36/x
  3. Step 3: Cross multiply
    440.38x = 659.35 × 406.36
  4. Step 4: Simplify right side
    440.38x = 267,933.47
  5. Step 5: Solve for x
    x = 267,933.47/440.38
  6. Step 6: Final answer
    x = 608.41

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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.