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Finding the Fourth Proportional to 651.03, 974.60 and 419.23

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Solution

The fourth proportional to 651.03, 974.60 and 419.23 is: 627.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.03 : 974.60 = 419.23 : x
  2. Step 2: Convert to fraction form
    651.03/974.60 = 419.23/x
  3. Step 3: Cross multiply
    651.03x = 974.60 × 419.23
  4. Step 4: Simplify right side
    651.03x = 408,581.56
  5. Step 5: Solve for x
    x = 408,581.56/651.03
  6. Step 6: Final answer
    x = 627.59

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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.