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Finding the Fourth Proportional to 493.05, 735.71 and 412.05

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Solution

The fourth proportional to 493.05, 735.71 and 412.05 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.05 : 735.71 = 412.05 : x
  2. Step 2: Convert to fraction form
    493.05/735.71 = 412.05/x
  3. Step 3: Cross multiply
    493.05x = 735.71 × 412.05
  4. Step 4: Simplify right side
    493.05x = 303,147.25
  5. Step 5: Solve for x
    x = 303,147.25/493.05
  6. Step 6: Final answer
    x = 614.84

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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.