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Finding the Fourth Proportional to 937.73, 1,406.90 and 450.72

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Solution

The fourth proportional to 937.73, 1,406.90 and 450.72 is: 676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.73 : 1,406.90 = 450.72 : x
  2. Step 2: Convert to fraction form
    937.73/1,406.90 = 450.72/x
  3. Step 3: Cross multiply
    937.73x = 1,406.90 × 450.72
  4. Step 4: Simplify right side
    937.73x = 634,119.09
  5. Step 5: Solve for x
    x = 634,119.09/937.73
  6. Step 6: Final answer
    x = 676.23

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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.