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Finding the Fourth Proportional to 491.73, 736.98 and 285.89

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Solution

The fourth proportional to 491.73, 736.98 and 285.89 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.73 : 736.98 = 285.89 : x
  2. Step 2: Convert to fraction form
    491.73/736.98 = 285.89/x
  3. Step 3: Cross multiply
    491.73x = 736.98 × 285.89
  4. Step 4: Simplify right side
    491.73x = 210,691.53
  5. Step 5: Solve for x
    x = 210,691.53/491.73
  6. Step 6: Final answer
    x = 428.47

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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.