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Finding the Fourth Proportional to 746.98, 1,119.38 and 420.68

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Solution

The fourth proportional to 746.98, 1,119.38 and 420.68 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.98 : 1,119.38 = 420.68 : x
  2. Step 2: Convert to fraction form
    746.98/1,119.38 = 420.68/x
  3. Step 3: Cross multiply
    746.98x = 1,119.38 × 420.68
  4. Step 4: Simplify right side
    746.98x = 470,900.78
  5. Step 5: Solve for x
    x = 470,900.78/746.98
  6. Step 6: Final answer
    x = 630.41

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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.