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Finding the Fourth Proportional to 1,438.74, 2,158.49 and 514.39

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Solution

The fourth proportional to 1,438.74, 2,158.49 and 514.39 is: 771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.74 : 2,158.49 = 514.39 : x
  2. Step 2: Convert to fraction form
    1,438.74/2,158.49 = 514.39/x
  3. Step 3: Cross multiply
    1,438.74x = 2,158.49 × 514.39
  4. Step 4: Simplify right side
    1,438.74x = 1,110,305.67
  5. Step 5: Solve for x
    x = 1,110,305.67/1,438.74
  6. Step 6: Final answer
    x = 771.72

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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.