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Finding the Fourth Proportional to 491.14, 734.79 and 380.62

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Solution

The fourth proportional to 491.14, 734.79 and 380.62 is: 569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.14 : 734.79 = 380.62 : x
  2. Step 2: Convert to fraction form
    491.14/734.79 = 380.62/x
  3. Step 3: Cross multiply
    491.14x = 734.79 × 380.62
  4. Step 4: Simplify right side
    491.14x = 279,675.77
  5. Step 5: Solve for x
    x = 279,675.77/491.14
  6. Step 6: Final answer
    x = 569.44

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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.