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Finding the Fourth Proportional to 481.02, 718.07 and 419.50

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Solution

The fourth proportional to 481.02, 718.07 and 419.50 is: 626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.02 : 718.07 = 419.50 : x
  2. Step 2: Convert to fraction form
    481.02/718.07 = 419.50/x
  3. Step 3: Cross multiply
    481.02x = 718.07 × 419.50
  4. Step 4: Simplify right side
    481.02x = 301,230.37
  5. Step 5: Solve for x
    x = 301,230.37/481.02
  6. Step 6: Final answer
    x = 626.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.