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Finding the Fourth Proportional to 491.20, 736.83 and 285.71

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Solution

The fourth proportional to 491.20, 736.83 and 285.71 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.20 : 736.83 = 285.71 : x
  2. Step 2: Convert to fraction form
    491.20/736.83 = 285.71/x
  3. Step 3: Cross multiply
    491.20x = 736.83 × 285.71
  4. Step 4: Simplify right side
    491.20x = 210,516.02
  5. Step 5: Solve for x
    x = 210,516.02/491.20
  6. Step 6: Final answer
    x = 428.58

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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.