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Finding the Fourth Proportional to 441.70, 659.29 and 414.34

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Solution

The fourth proportional to 441.70, 659.29 and 414.34 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 659.29 = 414.34 : x
  2. Step 2: Convert to fraction form
    441.70/659.29 = 414.34/x
  3. Step 3: Cross multiply
    441.70x = 659.29 × 414.34
  4. Step 4: Simplify right side
    441.70x = 273,170.22
  5. Step 5: Solve for x
    x = 273,170.22/441.70
  6. Step 6: Final answer
    x = 618.45

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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.