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Finding the Fourth Proportional to 441.70, 661.20 and 417.40

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Solution

The fourth proportional to 441.70, 661.20 and 417.40 is: 624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 661.20 = 417.40 : x
  2. Step 2: Convert to fraction form
    441.70/661.20 = 417.40/x
  3. Step 3: Cross multiply
    441.70x = 661.20 × 417.40
  4. Step 4: Simplify right side
    441.70x = 275,984.88
  5. Step 5: Solve for x
    x = 275,984.88/441.70
  6. Step 6: Final answer
    x = 624.82

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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.