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Finding the Fourth Proportional to 1,259.60, 1,714.94 and 1,255.70

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Solution

The fourth proportional to 1,259.60, 1,714.94 and 1,255.70 is: 1,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.60 : 1,714.94 = 1,255.70 : x
  2. Step 2: Convert to fraction form
    1,259.60/1,714.94 = 1,255.70/x
  3. Step 3: Cross multiply
    1,259.60x = 1,714.94 × 1,255.70
  4. Step 4: Simplify right side
    1,259.60x = 2,153,450.16
  5. Step 5: Solve for x
    x = 2,153,450.16/1,259.60
  6. Step 6: Final answer
    x = 1,709.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.