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Finding the Fourth Proportional to 532.23, 733.76 and 438.63

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Solution

The fourth proportional to 532.23, 733.76 and 438.63 is: 604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.23 : 733.76 = 438.63 : x
  2. Step 2: Convert to fraction form
    532.23/733.76 = 438.63/x
  3. Step 3: Cross multiply
    532.23x = 733.76 × 438.63
  4. Step 4: Simplify right side
    532.23x = 321,846.96
  5. Step 5: Solve for x
    x = 321,846.96/532.23
  6. Step 6: Final answer
    x = 604.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.