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Finding the Fourth Proportional to 1,438.94, 2,158.78 and 451.74

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Solution

The fourth proportional to 1,438.94, 2,158.78 and 451.74 is: 677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.94 : 2,158.78 = 451.74 : x
  2. Step 2: Convert to fraction form
    1,438.94/2,158.78 = 451.74/x
  3. Step 3: Cross multiply
    1,438.94x = 2,158.78 × 451.74
  4. Step 4: Simplify right side
    1,438.94x = 975,207.28
  5. Step 5: Solve for x
    x = 975,207.28/1,438.94
  6. Step 6: Final answer
    x = 677.73

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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.