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Finding the Fourth Proportional to 477.26, 654.41 and 430.44

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Solution

The fourth proportional to 477.26, 654.41 and 430.44 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.26 : 654.41 = 430.44 : x
  2. Step 2: Convert to fraction form
    477.26/654.41 = 430.44/x
  3. Step 3: Cross multiply
    477.26x = 654.41 × 430.44
  4. Step 4: Simplify right side
    477.26x = 281,682.09
  5. Step 5: Solve for x
    x = 281,682.09/477.26
  6. Step 6: Final answer
    x = 590.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.