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Finding the Fourth Proportional to 461.89, 638.65 and 420.48

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Solution

The fourth proportional to 461.89, 638.65 and 420.48 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 638.65 = 420.48 : x
  2. Step 2: Convert to fraction form
    461.89/638.65 = 420.48/x
  3. Step 3: Cross multiply
    461.89x = 638.65 × 420.48
  4. Step 4: Simplify right side
    461.89x = 268,539.55
  5. Step 5: Solve for x
    x = 268,539.55/461.89
  6. Step 6: Final answer
    x = 581.39

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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.