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Finding the Fourth Proportional to 997.40, 1,495.86 and 419.72

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Solution

The fourth proportional to 997.40, 1,495.86 and 419.72 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.40 : 1,495.86 = 419.72 : x
  2. Step 2: Convert to fraction form
    997.40/1,495.86 = 419.72/x
  3. Step 3: Cross multiply
    997.40x = 1,495.86 × 419.72
  4. Step 4: Simplify right side
    997.40x = 627,842.36
  5. Step 5: Solve for x
    x = 627,842.36/997.40
  6. Step 6: Final answer
    x = 629.48

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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.