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Finding the Fourth Proportional to 472.68, 648.45 and 459.88

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Solution

The fourth proportional to 472.68, 648.45 and 459.88 is: 630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 648.45 = 459.88 : x
  2. Step 2: Convert to fraction form
    472.68/648.45 = 459.88/x
  3. Step 3: Cross multiply
    472.68x = 648.45 × 459.88
  4. Step 4: Simplify right side
    472.68x = 298,207.56
  5. Step 5: Solve for x
    x = 298,207.56/472.68
  6. Step 6: Final answer
    x = 630.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.