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Finding the Fourth Proportional to 433.43, 650.87 and 430.07

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Solution

The fourth proportional to 433.43, 650.87 and 430.07 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.43 : 650.87 = 430.07 : x
  2. Step 2: Convert to fraction form
    433.43/650.87 = 430.07/x
  3. Step 3: Cross multiply
    433.43x = 650.87 × 430.07
  4. Step 4: Simplify right side
    433.43x = 279,922.36
  5. Step 5: Solve for x
    x = 279,922.36/433.43
  6. Step 6: Final answer
    x = 645.83

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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.