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Finding the Fourth Proportional to 414.46, 621.60 and 284.44

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Solution

The fourth proportional to 414.46, 621.60 and 284.44 is: 426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 621.60 = 284.44 : x
  2. Step 2: Convert to fraction form
    414.46/621.60 = 284.44/x
  3. Step 3: Cross multiply
    414.46x = 621.60 × 284.44
  4. Step 4: Simplify right side
    414.46x = 176,807.90
  5. Step 5: Solve for x
    x = 176,807.90/414.46
  6. Step 6: Final answer
    x = 426.60

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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.