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Finding the Fourth Proportional to 450.53, 672.48 and 419.20

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Solution

The fourth proportional to 450.53, 672.48 and 419.20 is: 625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.53 : 672.48 = 419.20 : x
  2. Step 2: Convert to fraction form
    450.53/672.48 = 419.20/x
  3. Step 3: Cross multiply
    450.53x = 672.48 × 419.20
  4. Step 4: Simplify right side
    450.53x = 281,903.62
  5. Step 5: Solve for x
    x = 281,903.62/450.53
  6. Step 6: Final answer
    x = 625.72

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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.