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Finding the Fourth Proportional to 1,438.50, 2,158.26 and 708.59

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Solution

The fourth proportional to 1,438.50, 2,158.26 and 708.59 is: 1,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.50 : 2,158.26 = 708.59 : x
  2. Step 2: Convert to fraction form
    1,438.50/2,158.26 = 708.59/x
  3. Step 3: Cross multiply
    1,438.50x = 2,158.26 × 708.59
  4. Step 4: Simplify right side
    1,438.50x = 1,529,326.85
  5. Step 5: Solve for x
    x = 1,529,326.85/1,438.50
  6. Step 6: Final answer
    x = 1,063.14

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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.