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Finding the Fourth Proportional to 493.01, 737.81 and 448.71

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Solution

The fourth proportional to 493.01, 737.81 and 448.71 is: 671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.01 : 737.81 = 448.71 : x
  2. Step 2: Convert to fraction form
    493.01/737.81 = 448.71/x
  3. Step 3: Cross multiply
    493.01x = 737.81 × 448.71
  4. Step 4: Simplify right side
    493.01x = 331,065.62
  5. Step 5: Solve for x
    x = 331,065.62/493.01
  6. Step 6: Final answer
    x = 671.52

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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.