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Finding the Fourth Proportional to 1,438.80, 2,157.80 and 451.41

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Solution

The fourth proportional to 1,438.80, 2,157.80 and 451.41 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.80 : 2,157.80 = 451.41 : x
  2. Step 2: Convert to fraction form
    1,438.80/2,157.80 = 451.41/x
  3. Step 3: Cross multiply
    1,438.80x = 2,157.80 × 451.41
  4. Step 4: Simplify right side
    1,438.80x = 974,050.24
  5. Step 5: Solve for x
    x = 974,050.24/1,438.80
  6. Step 6: Final answer
    x = 676.99

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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.