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Finding the Fourth Proportional to 466.63, 648.17 and 459.19

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Solution

The fourth proportional to 466.63, 648.17 and 459.19 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.63 : 648.17 = 459.19 : x
  2. Step 2: Convert to fraction form
    466.63/648.17 = 459.19/x
  3. Step 3: Cross multiply
    466.63x = 648.17 × 459.19
  4. Step 4: Simplify right side
    466.63x = 297,629.77
  5. Step 5: Solve for x
    x = 297,629.77/466.63
  6. Step 6: Final answer
    x = 637.83

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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.