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Finding the Fourth Proportional to 459.73, 634.62 and 415.27

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Solution

The fourth proportional to 459.73, 634.62 and 415.27 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 634.62 = 415.27 : x
  2. Step 2: Convert to fraction form
    459.73/634.62 = 415.27/x
  3. Step 3: Cross multiply
    459.73x = 634.62 × 415.27
  4. Step 4: Simplify right side
    459.73x = 263,538.65
  5. Step 5: Solve for x
    x = 263,538.65/459.73
  6. Step 6: Final answer
    x = 573.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.