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Finding the Fourth Proportional to 445.52, 617.63 and 422.10

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Solution

The fourth proportional to 445.52, 617.63 and 422.10 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.52 : 617.63 = 422.10 : x
  2. Step 2: Convert to fraction form
    445.52/617.63 = 422.10/x
  3. Step 3: Cross multiply
    445.52x = 617.63 × 422.10
  4. Step 4: Simplify right side
    445.52x = 260,701.62
  5. Step 5: Solve for x
    x = 260,701.62/445.52
  6. Step 6: Final answer
    x = 585.16

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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.