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Finding the Fourth Proportional to 468.10, 701.55 and 414.10

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Solution

The fourth proportional to 468.10, 701.55 and 414.10 is: 620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.10 : 701.55 = 414.10 : x
  2. Step 2: Convert to fraction form
    468.10/701.55 = 414.10/x
  3. Step 3: Cross multiply
    468.10x = 701.55 × 414.10
  4. Step 4: Simplify right side
    468.10x = 290,511.86
  5. Step 5: Solve for x
    x = 290,511.86/468.10
  6. Step 6: Final answer
    x = 620.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.