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Finding the Fourth Proportional to 480.98, 719.84 and 419.42

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Solution

The fourth proportional to 480.98, 719.84 and 419.42 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.98 : 719.84 = 419.42 : x
  2. Step 2: Convert to fraction form
    480.98/719.84 = 419.42/x
  3. Step 3: Cross multiply
    480.98x = 719.84 × 419.42
  4. Step 4: Simplify right side
    480.98x = 301,915.29
  5. Step 5: Solve for x
    x = 301,915.29/480.98
  6. Step 6: Final answer
    x = 627.71

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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.