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Finding the Fourth Proportional to 478.79, 664.09 and 459.35

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Solution

The fourth proportional to 478.79, 664.09 and 459.35 is: 637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.79 : 664.09 = 459.35 : x
  2. Step 2: Convert to fraction form
    478.79/664.09 = 459.35/x
  3. Step 3: Cross multiply
    478.79x = 664.09 × 459.35
  4. Step 4: Simplify right side
    478.79x = 305,049.74
  5. Step 5: Solve for x
    x = 305,049.74/478.79
  6. Step 6: Final answer
    x = 637.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.