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Finding the Fourth Proportional to 441.70, 660.66 and 429.91

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Solution

The fourth proportional to 441.70, 660.66 and 429.91 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 660.66 = 429.91 : x
  2. Step 2: Convert to fraction form
    441.70/660.66 = 429.91/x
  3. Step 3: Cross multiply
    441.70x = 660.66 × 429.91
  4. Step 4: Simplify right side
    441.70x = 284,024.34
  5. Step 5: Solve for x
    x = 284,024.34/441.70
  6. Step 6: Final answer
    x = 643.03

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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.