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Finding the Fourth Proportional to 447.11, 669.24 and 430.10

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Solution

The fourth proportional to 447.11, 669.24 and 430.10 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.11 : 669.24 = 430.10 : x
  2. Step 2: Convert to fraction form
    447.11/669.24 = 430.10/x
  3. Step 3: Cross multiply
    447.11x = 669.24 × 430.10
  4. Step 4: Simplify right side
    447.11x = 287,834.63
  5. Step 5: Solve for x
    x = 287,834.63/447.11
  6. Step 6: Final answer
    x = 643.77

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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.