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Finding the Fourth Proportional to 433.26, 646.61 and 430.43

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Solution

The fourth proportional to 433.26, 646.61 and 430.43 is: 642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 646.61 = 430.43 : x
  2. Step 2: Convert to fraction form
    433.26/646.61 = 430.43/x
  3. Step 3: Cross multiply
    433.26x = 646.61 × 430.43
  4. Step 4: Simplify right side
    433.26x = 278,314.96
  5. Step 5: Solve for x
    x = 278,314.96/433.26
  6. Step 6: Final answer
    x = 642.37

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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.