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Finding the Fourth Proportional to 442.52, 613.46 and 419.10

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Solution

The fourth proportional to 442.52, 613.46 and 419.10 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.52 : 613.46 = 419.10 : x
  2. Step 2: Convert to fraction form
    442.52/613.46 = 419.10/x
  3. Step 3: Cross multiply
    442.52x = 613.46 × 419.10
  4. Step 4: Simplify right side
    442.52x = 257,101.09
  5. Step 5: Solve for x
    x = 257,101.09/442.52
  6. Step 6: Final answer
    x = 580.99

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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.