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Finding the Fourth Proportional to 500.88, 748.23 and 423.48

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Solution

The fourth proportional to 500.88, 748.23 and 423.48 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 748.23 = 423.48 : x
  2. Step 2: Convert to fraction form
    500.88/748.23 = 423.48/x
  3. Step 3: Cross multiply
    500.88x = 748.23 × 423.48
  4. Step 4: Simplify right side
    500.88x = 316,860.44
  5. Step 5: Solve for x
    x = 316,860.44/500.88
  6. Step 6: Final answer
    x = 632.61

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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.