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Finding the Fourth Proportional to 484.91, 726.45 and 430.23

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Solution

The fourth proportional to 484.91, 726.45 and 430.23 is: 644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.91 : 726.45 = 430.23 : x
  2. Step 2: Convert to fraction form
    484.91/726.45 = 430.23/x
  3. Step 3: Cross multiply
    484.91x = 726.45 × 430.23
  4. Step 4: Simplify right side
    484.91x = 312,540.58
  5. Step 5: Solve for x
    x = 312,540.58/484.91
  6. Step 6: Final answer
    x = 644.53

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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.