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Finding the Fourth Proportional to 1,255.20, 1,884.15 and 708.45

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Solution

The fourth proportional to 1,255.20, 1,884.15 and 708.45 is: 1,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.20 : 1,884.15 = 708.45 : x
  2. Step 2: Convert to fraction form
    1,255.20/1,884.15 = 708.45/x
  3. Step 3: Cross multiply
    1,255.20x = 1,884.15 × 708.45
  4. Step 4: Simplify right side
    1,255.20x = 1,334,826.07
  5. Step 5: Solve for x
    x = 1,334,826.07/1,255.20
  6. Step 6: Final answer
    x = 1,063.44

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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.