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Finding the Fourth Proportional to 967, 1,450.23 and 419.35

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Solution

The fourth proportional to 967, 1,450.23 and 419.35 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,450.23 = 419.35 : x
  2. Step 2: Convert to fraction form
    967/1,450.23 = 419.35/x
  3. Step 3: Cross multiply
    967x = 1,450.23 × 419.35
  4. Step 4: Simplify right side
    967x = 608,153.95
  5. Step 5: Solve for x
    x = 608,153.95/967
  6. Step 6: Final answer
    x = 628.91

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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.