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Finding the Fourth Proportional to 503.65, 754.26 and 405.73

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Solution

The fourth proportional to 503.65, 754.26 and 405.73 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.65 : 754.26 = 405.73 : x
  2. Step 2: Convert to fraction form
    503.65/754.26 = 405.73/x
  3. Step 3: Cross multiply
    503.65x = 754.26 × 405.73
  4. Step 4: Simplify right side
    503.65x = 306,025.91
  5. Step 5: Solve for x
    x = 306,025.91/503.65
  6. Step 6: Final answer
    x = 607.62

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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.