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Finding the Fourth Proportional to 493.59, 736.82 and 424.34

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Solution

The fourth proportional to 493.59, 736.82 and 424.34 is: 633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.59 : 736.82 = 424.34 : x
  2. Step 2: Convert to fraction form
    493.59/736.82 = 424.34/x
  3. Step 3: Cross multiply
    493.59x = 736.82 × 424.34
  4. Step 4: Simplify right side
    493.59x = 312,661.94
  5. Step 5: Solve for x
    x = 312,661.94/493.59
  6. Step 6: Final answer
    x = 633.44

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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.