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Finding the Fourth Proportional to 477.50, 659.75 and 459.27

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Solution

The fourth proportional to 477.50, 659.75 and 459.27 is: 634.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 659.75 = 459.27 : x
  2. Step 2: Convert to fraction form
    477.50/659.75 = 459.27/x
  3. Step 3: Cross multiply
    477.50x = 659.75 × 459.27
  4. Step 4: Simplify right side
    477.50x = 303,001.09
  5. Step 5: Solve for x
    x = 303,001.09/477.50
  6. Step 6: Final answer
    x = 634.56

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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.